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Finding the Fourth Proportional to 20,456.24, 30,677.88 and 6,602

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Solution

The fourth proportional to 20,456.24, 30,677.88 and 6,602 is: 9,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.24 : 30,677.88 = 6,602 : x
  2. Step 2: Convert to fraction form
    20,456.24/30,677.88 = 6,602/x
  3. Step 3: Cross multiply
    20,456.24x = 30,677.88 × 6,602
  4. Step 4: Simplify right side
    20,456.24x = 202,535,363.76
  5. Step 5: Solve for x
    x = 202,535,363.76/20,456.24
  6. Step 6: Final answer
    x = 9,900.91

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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.