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Finding the Fourth Proportional to 12,023.76, 16,591.14 and 7,307.22

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Solution

The fourth proportional to 12,023.76, 16,591.14 and 7,307.22 is: 10,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.76 : 16,591.14 = 7,307.22 : x
  2. Step 2: Convert to fraction form
    12,023.76/16,591.14 = 7,307.22/x
  3. Step 3: Cross multiply
    12,023.76x = 16,591.14 × 7,307.22
  4. Step 4: Simplify right side
    12,023.76x = 121,235,110.03
  5. Step 5: Solve for x
    x = 121,235,110.03/12,023.76
  6. Step 6: Final answer
    x = 10,082.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.