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Finding the Fourth Proportional to 15,937.60, 23,906.40 and 9,716.80

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Solution

The fourth proportional to 15,937.60, 23,906.40 and 9,716.80 is: 14,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,937.60 : 23,906.40 = 9,716.80 : x
  2. Step 2: Convert to fraction form
    15,937.60/23,906.40 = 9,716.80/x
  3. Step 3: Cross multiply
    15,937.60x = 23,906.40 × 9,716.80
  4. Step 4: Simplify right side
    15,937.60x = 232,293,707.52
  5. Step 5: Solve for x
    x = 232,293,707.52/15,937.60
  6. Step 6: Final answer
    x = 14,575.20

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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.