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Finding the Fourth Proportional to 21,402.70, 32,104.05 and 14,404.30

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Solution

The fourth proportional to 21,402.70, 32,104.05 and 14,404.30 is: 21,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.70 : 32,104.05 = 14,404.30 : x
  2. Step 2: Convert to fraction form
    21,402.70/32,104.05 = 14,404.30/x
  3. Step 3: Cross multiply
    21,402.70x = 32,104.05 × 14,404.30
  4. Step 4: Simplify right side
    21,402.70x = 462,436,367.42
  5. Step 5: Solve for x
    x = 462,436,367.42/21,402.70
  6. Step 6: Final answer
    x = 21,606.45

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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.