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Finding the Fourth Proportional to 17,142.24, 25,709.52 and 4,831.20

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Solution

The fourth proportional to 17,142.24, 25,709.52 and 4,831.20 is: 7,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.24 : 25,709.52 = 4,831.20 : x
  2. Step 2: Convert to fraction form
    17,142.24/25,709.52 = 4,831.20/x
  3. Step 3: Cross multiply
    17,142.24x = 25,709.52 × 4,831.20
  4. Step 4: Simplify right side
    17,142.24x = 124,207,833.02
  5. Step 5: Solve for x
    x = 124,207,833.02/17,142.24
  6. Step 6: Final answer
    x = 7,245.72

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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.