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Finding the Fourth Proportional to 14,654.30, 21,986.56 and 10,655.42

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Solution

The fourth proportional to 14,654.30, 21,986.56 and 10,655.42 is: 15,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.30 : 21,986.56 = 10,655.42 : x
  2. Step 2: Convert to fraction form
    14,654.30/21,986.56 = 10,655.42/x
  3. Step 3: Cross multiply
    14,654.30x = 21,986.56 × 10,655.42
  4. Step 4: Simplify right side
    14,654.30x = 234,276,031.16
  5. Step 5: Solve for x
    x = 234,276,031.16/14,654.30
  6. Step 6: Final answer
    x = 15,986.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.