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Finding the Fourth Proportional to 15,966.14, 22,033.30 and 9,253.06

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Solution

The fourth proportional to 15,966.14, 22,033.30 and 9,253.06 is: 12,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.14 : 22,033.30 = 9,253.06 : x
  2. Step 2: Convert to fraction form
    15,966.14/22,033.30 = 9,253.06/x
  3. Step 3: Cross multiply
    15,966.14x = 22,033.30 × 9,253.06
  4. Step 4: Simplify right side
    15,966.14x = 203,875,446.90
  5. Step 5: Solve for x
    x = 203,875,446.90/15,966.14
  6. Step 6: Final answer
    x = 12,769.24

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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.