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Finding the Fourth Proportional to 15,966.30, 22,032 and 9,252.18

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Solution

The fourth proportional to 15,966.30, 22,032 and 9,252.18 is: 12,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.30 : 22,032 = 9,252.18 : x
  2. Step 2: Convert to fraction form
    15,966.30/22,032 = 9,252.18/x
  3. Step 3: Cross multiply
    15,966.30x = 22,032 × 9,252.18
  4. Step 4: Simplify right side
    15,966.30x = 203,844,029.76
  5. Step 5: Solve for x
    x = 203,844,029.76/15,966.30
  6. Step 6: Final answer
    x = 12,767.14

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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.