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Finding the Fourth Proportional to 20,342.70, 30,454.65 and 14,510.70

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Solution

The fourth proportional to 20,342.70, 30,454.65 and 14,510.70 is: 21,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.70 : 30,454.65 = 14,510.70 : x
  2. Step 2: Convert to fraction form
    20,342.70/30,454.65 = 14,510.70/x
  3. Step 3: Cross multiply
    20,342.70x = 30,454.65 × 14,510.70
  4. Step 4: Simplify right side
    20,342.70x = 441,918,289.76
  5. Step 5: Solve for x
    x = 441,918,289.76/20,342.70
  6. Step 6: Final answer
    x = 21,723.68

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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.