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Finding the Fourth Proportional to 21,385.50, 32,056.92 and 10,289.04

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Solution

The fourth proportional to 21,385.50, 32,056.92 and 10,289.04 is: 15,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.50 : 32,056.92 = 10,289.04 : x
  2. Step 2: Convert to fraction form
    21,385.50/32,056.92 = 10,289.04/x
  3. Step 3: Cross multiply
    21,385.50x = 32,056.92 × 10,289.04
  4. Step 4: Simplify right side
    21,385.50x = 329,834,932.16
  5. Step 5: Solve for x
    x = 329,834,932.16/21,385.50
  6. Step 6: Final answer
    x = 15,423.30

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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.