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Finding the Fourth Proportional to 14,876.92, 20,531.10 and 9,832.29

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Solution

The fourth proportional to 14,876.92, 20,531.10 and 9,832.29 is: 13,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.92 : 20,531.10 = 9,832.29 : x
  2. Step 2: Convert to fraction form
    14,876.92/20,531.10 = 9,832.29/x
  3. Step 3: Cross multiply
    14,876.92x = 20,531.10 × 9,832.29
  4. Step 4: Simplify right side
    14,876.92x = 201,867,729.22
  5. Step 5: Solve for x
    x = 201,867,729.22/14,876.92
  6. Step 6: Final answer
    x = 13,569.19

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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.