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Finding the Fourth Proportional to 20,875.52, 31,314.65 and 6,831.79

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Solution

The fourth proportional to 20,875.52, 31,314.65 and 6,831.79 is: 10,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.52 : 31,314.65 = 6,831.79 : x
  2. Step 2: Convert to fraction form
    20,875.52/31,314.65 = 6,831.79/x
  3. Step 3: Cross multiply
    20,875.52x = 31,314.65 × 6,831.79
  4. Step 4: Simplify right side
    20,875.52x = 213,935,214.85
  5. Step 5: Solve for x
    x = 213,935,214.85/20,875.52
  6. Step 6: Final answer
    x = 10,248.14

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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.