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Finding the Fourth Proportional to 21,658.72, 32,488.32 and 7,807.84

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Solution

The fourth proportional to 21,658.72, 32,488.32 and 7,807.84 is: 11,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.72 : 32,488.32 = 7,807.84 : x
  2. Step 2: Convert to fraction form
    21,658.72/32,488.32 = 7,807.84/x
  3. Step 3: Cross multiply
    21,658.72x = 32,488.32 × 7,807.84
  4. Step 4: Simplify right side
    21,658.72x = 253,663,604.43
  5. Step 5: Solve for x
    x = 253,663,604.43/21,658.72
  6. Step 6: Final answer
    x = 11,711.85

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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.