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Finding the Fourth Proportional to 21,385.17, 32,077.85 and 7,349.27

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Solution

The fourth proportional to 21,385.17, 32,077.85 and 7,349.27 is: 11,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.17 : 32,077.85 = 7,349.27 : x
  2. Step 2: Convert to fraction form
    21,385.17/32,077.85 = 7,349.27/x
  3. Step 3: Cross multiply
    21,385.17x = 32,077.85 × 7,349.27
  4. Step 4: Simplify right side
    21,385.17x = 235,748,583.53
  5. Step 5: Solve for x
    x = 235,748,583.53/21,385.17
  6. Step 6: Final answer
    x = 11,023.93

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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.