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Finding the Fourth Proportional to 15,831.60, 23,740.92 and 5,965.53

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Solution

The fourth proportional to 15,831.60, 23,740.92 and 5,965.53 is: 8,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831.60 : 23,740.92 = 5,965.53 : x
  2. Step 2: Convert to fraction form
    15,831.60/23,740.92 = 5,965.53/x
  3. Step 3: Cross multiply
    15,831.60x = 23,740.92 × 5,965.53
  4. Step 4: Simplify right side
    15,831.60x = 141,627,170.49
  5. Step 5: Solve for x
    x = 141,627,170.49/15,831.60
  6. Step 6: Final answer
    x = 8,945.85

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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.