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Finding the Fourth Proportional to 24,470.17, 36,704.23 and 7,831.15

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Solution

The fourth proportional to 24,470.17, 36,704.23 and 7,831.15 is: 11,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.17 : 36,704.23 = 7,831.15 : x
  2. Step 2: Convert to fraction form
    24,470.17/36,704.23 = 7,831.15/x
  3. Step 3: Cross multiply
    24,470.17x = 36,704.23 × 7,831.15
  4. Step 4: Simplify right side
    24,470.17x = 287,436,330.76
  5. Step 5: Solve for x
    x = 287,436,330.76/24,470.17
  6. Step 6: Final answer
    x = 11,746.40

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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.