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Finding the Fourth Proportional to 23,614.40, 35,421.60 and 15,780.80

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Solution

The fourth proportional to 23,614.40, 35,421.60 and 15,780.80 is: 23,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.40 : 35,421.60 = 15,780.80 : x
  2. Step 2: Convert to fraction form
    23,614.40/35,421.60 = 15,780.80/x
  3. Step 3: Cross multiply
    23,614.40x = 35,421.60 × 15,780.80
  4. Step 4: Simplify right side
    23,614.40x = 558,981,185.28
  5. Step 5: Solve for x
    x = 558,981,185.28/23,614.40
  6. Step 6: Final answer
    x = 23,671.20

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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.