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Finding the Fourth Proportional to 15,431.68, 21,295.54 and 9,057.15

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Solution

The fourth proportional to 15,431.68, 21,295.54 and 9,057.15 is: 12,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,431.68 : 21,295.54 = 9,057.15 : x
  2. Step 2: Convert to fraction form
    15,431.68/21,295.54 = 9,057.15/x
  3. Step 3: Cross multiply
    15,431.68x = 21,295.54 × 9,057.15
  4. Step 4: Simplify right side
    15,431.68x = 192,876,911.43
  5. Step 5: Solve for x
    x = 192,876,911.43/15,431.68
  6. Step 6: Final answer
    x = 12,498.76

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