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Finding the Fourth Proportional to 22,641.76, 31,242 and 14,252.32

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Solution

The fourth proportional to 22,641.76, 31,242 and 14,252.32 is: 19,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.76 : 31,242 = 14,252.32 : x
  2. Step 2: Convert to fraction form
    22,641.76/31,242 = 14,252.32/x
  3. Step 3: Cross multiply
    22,641.76x = 31,242 × 14,252.32
  4. Step 4: Simplify right side
    22,641.76x = 445,270,981.44
  5. Step 5: Solve for x
    x = 445,270,981.44/22,641.76
  6. Step 6: Final answer
    x = 19,665.92

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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.