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Finding the Fourth Proportional to 15,402.70, 23,103.84 and 3,715.82

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Solution

The fourth proportional to 15,402.70, 23,103.84 and 3,715.82 is: 5,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,402.70 : 23,103.84 = 3,715.82 : x
  2. Step 2: Convert to fraction form
    15,402.70/23,103.84 = 3,715.82/x
  3. Step 3: Cross multiply
    15,402.70x = 23,103.84 × 3,715.82
  4. Step 4: Simplify right side
    15,402.70x = 85,849,710.75
  5. Step 5: Solve for x
    x = 85,849,710.75/15,402.70
  6. Step 6: Final answer
    x = 5,573.68

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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.