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Finding the Fourth Proportional to 23,938.60, 35,922.86 and 9,148.80

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Solution

The fourth proportional to 23,938.60, 35,922.86 and 9,148.80 is: 13,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,938.60 : 35,922.86 = 9,148.80 : x
  2. Step 2: Convert to fraction form
    23,938.60/35,922.86 = 9,148.80/x
  3. Step 3: Cross multiply
    23,938.60x = 35,922.86 × 9,148.80
  4. Step 4: Simplify right side
    23,938.60x = 328,651,061.57
  5. Step 5: Solve for x
    x = 328,651,061.57/23,938.60
  6. Step 6: Final answer
    x = 13,728.92

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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.