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Finding the Fourth Proportional to 21,654.64, 32,473.71 and 10,406.88

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Solution

The fourth proportional to 21,654.64, 32,473.71 and 10,406.88 is: 15,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654.64 : 32,473.71 = 10,406.88 : x
  2. Step 2: Convert to fraction form
    21,654.64/32,473.71 = 10,406.88/x
  3. Step 3: Cross multiply
    21,654.64x = 32,473.71 × 10,406.88
  4. Step 4: Simplify right side
    21,654.64x = 337,950,003.12
  5. Step 5: Solve for x
    x = 337,950,003.12/21,654.64
  6. Step 6: Final answer
    x = 15,606.35

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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.