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Finding the Fourth Proportional to 14,758.26, 22,134.30 and 5,402.70

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Solution

The fourth proportional to 14,758.26, 22,134.30 and 5,402.70 is: 8,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,758.26 : 22,134.30 = 5,402.70 : x
  2. Step 2: Convert to fraction form
    14,758.26/22,134.30 = 5,402.70/x
  3. Step 3: Cross multiply
    14,758.26x = 22,134.30 × 5,402.70
  4. Step 4: Simplify right side
    14,758.26x = 119,584,982.61
  5. Step 5: Solve for x
    x = 119,584,982.61/14,758.26
  6. Step 6: Final answer
    x = 8,102.92

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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.