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Finding the Fourth Proportional to 23,642.70, 35,461.17 and 6,113.76

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Solution

The fourth proportional to 23,642.70, 35,461.17 and 6,113.76 is: 9,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.70 : 35,461.17 = 6,113.76 : x
  2. Step 2: Convert to fraction form
    23,642.70/35,461.17 = 6,113.76/x
  3. Step 3: Cross multiply
    23,642.70x = 35,461.17 × 6,113.76
  4. Step 4: Simplify right side
    23,642.70x = 216,801,082.70
  5. Step 5: Solve for x
    x = 216,801,082.70/23,642.70
  6. Step 6: Final answer
    x = 9,169.90

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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.