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Finding the Fourth Proportional to 17,831.52, 24,604.60 and 10,278.16

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Solution

The fourth proportional to 17,831.52, 24,604.60 and 10,278.16 is: 14,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831.52 : 24,604.60 = 10,278.16 : x
  2. Step 2: Convert to fraction form
    17,831.52/24,604.60 = 10,278.16/x
  3. Step 3: Cross multiply
    17,831.52x = 24,604.60 × 10,278.16
  4. Step 4: Simplify right side
    17,831.52x = 252,890,015.54
  5. Step 5: Solve for x
    x = 252,890,015.54/17,831.52
  6. Step 6: Final answer
    x = 14,182.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.