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Finding the Fourth Proportional to 15,849.64, 21,882.18 and 10,549

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Solution

The fourth proportional to 15,849.64, 21,882.18 and 10,549 is: 14,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,849.64 : 21,882.18 = 10,549 : x
  2. Step 2: Convert to fraction form
    15,849.64/21,882.18 = 10,549/x
  3. Step 3: Cross multiply
    15,849.64x = 21,882.18 × 10,549
  4. Step 4: Simplify right side
    15,849.64x = 230,835,116.82
  5. Step 5: Solve for x
    x = 230,835,116.82/15,849.64
  6. Step 6: Final answer
    x = 14,564.06

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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.