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Finding the Fourth Proportional to 16,661.74, 22,993.24 and 9,108.16

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Solution

The fourth proportional to 16,661.74, 22,993.24 and 9,108.16 is: 12,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,661.74 : 22,993.24 = 9,108.16 : x
  2. Step 2: Convert to fraction form
    16,661.74/22,993.24 = 9,108.16/x
  3. Step 3: Cross multiply
    16,661.74x = 22,993.24 × 9,108.16
  4. Step 4: Simplify right side
    16,661.74x = 209,426,071.28
  5. Step 5: Solve for x
    x = 209,426,071.28/16,661.74
  6. Step 6: Final answer
    x = 12,569.28

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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.