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Finding the Fourth Proportional to 21,654.81, 32,504.10 and 15,421.86

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Solution

The fourth proportional to 21,654.81, 32,504.10 and 15,421.86 is: 23,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654.81 : 32,504.10 = 15,421.86 : x
  2. Step 2: Convert to fraction form
    21,654.81/32,504.10 = 15,421.86/x
  3. Step 3: Cross multiply
    21,654.81x = 32,504.10 × 15,421.86
  4. Step 4: Simplify right side
    21,654.81x = 501,273,679.63
  5. Step 5: Solve for x
    x = 501,273,679.63/21,654.81
  6. Step 6: Final answer
    x = 23,148.38

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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.