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Finding the Fourth Proportional to 21,337.60, 32,005.76 and 6,545.92

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Solution

The fourth proportional to 21,337.60, 32,005.76 and 6,545.92 is: 9,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,337.60 : 32,005.76 = 6,545.92 : x
  2. Step 2: Convert to fraction form
    21,337.60/32,005.76 = 6,545.92/x
  3. Step 3: Cross multiply
    21,337.60x = 32,005.76 × 6,545.92
  4. Step 4: Simplify right side
    21,337.60x = 209,507,144.50
  5. Step 5: Solve for x
    x = 209,507,144.50/21,337.60
  6. Step 6: Final answer
    x = 9,818.68

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Why These Related Problems?

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