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Finding the Fourth Proportional to 21,332.87, 32,005.45 and 6,543.96

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Solution

The fourth proportional to 21,332.87, 32,005.45 and 6,543.96 is: 9,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.87 : 32,005.45 = 6,543.96 : x
  2. Step 2: Convert to fraction form
    21,332.87/32,005.45 = 6,543.96/x
  3. Step 3: Cross multiply
    21,332.87x = 32,005.45 × 6,543.96
  4. Step 4: Simplify right side
    21,332.87x = 209,442,392.76
  5. Step 5: Solve for x
    x = 209,442,392.76/21,332.87
  6. Step 6: Final answer
    x = 9,817.82

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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.