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Finding the Fourth Proportional to 22,569, 31,138.02 and 14,617.32

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Solution

The fourth proportional to 22,569, 31,138.02 and 14,617.32 is: 20,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569 : 31,138.02 = 14,617.32 : x
  2. Step 2: Convert to fraction form
    22,569/31,138.02 = 14,617.32/x
  3. Step 3: Cross multiply
    22,569x = 31,138.02 × 14,617.32
  4. Step 4: Simplify right side
    22,569x = 455,154,402.51
  5. Step 5: Solve for x
    x = 455,154,402.51/22,569
  6. Step 6: Final answer
    x = 20,167.24

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.