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Finding the Fourth Proportional to 15,966.26, 22,031.75 and 9,253.99

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Solution

The fourth proportional to 15,966.26, 22,031.75 and 9,253.99 is: 12,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.26 : 22,031.75 = 9,253.99 : x
  2. Step 2: Convert to fraction form
    15,966.26/22,031.75 = 9,253.99/x
  3. Step 3: Cross multiply
    15,966.26x = 22,031.75 × 9,253.99
  4. Step 4: Simplify right side
    15,966.26x = 203,881,562.24
  5. Step 5: Solve for x
    x = 203,881,562.24/15,966.26
  6. Step 6: Final answer
    x = 12,769.53

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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.