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Finding the Fourth Proportional to 21,721.32, 32,575.50 and 7,678.76

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Solution

The fourth proportional to 21,721.32, 32,575.50 and 7,678.76 is: 11,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,721.32 : 32,575.50 = 7,678.76 : x
  2. Step 2: Convert to fraction form
    21,721.32/32,575.50 = 7,678.76/x
  3. Step 3: Cross multiply
    21,721.32x = 32,575.50 × 7,678.76
  4. Step 4: Simplify right side
    21,721.32x = 250,139,446.38
  5. Step 5: Solve for x
    x = 250,139,446.38/21,721.32
  6. Step 6: Final answer
    x = 11,515.85

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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.