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Finding the Fourth Proportional to 21,382.40, 32,077.28 and 7,341.76

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Solution

The fourth proportional to 21,382.40, 32,077.28 and 7,341.76 is: 11,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.40 : 32,077.28 = 7,341.76 : x
  2. Step 2: Convert to fraction form
    21,382.40/32,077.28 = 7,341.76/x
  3. Step 3: Cross multiply
    21,382.40x = 32,077.28 × 7,341.76
  4. Step 4: Simplify right side
    21,382.40x = 235,503,691.21
  5. Step 5: Solve for x
    x = 235,503,691.21/21,382.40
  6. Step 6: Final answer
    x = 11,013.90

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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.