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Finding the Fourth Proportional to 22,831.99, 31,508.03 and 12,760.43

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Solution

The fourth proportional to 22,831.99, 31,508.03 and 12,760.43 is: 17,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.99 : 31,508.03 = 12,760.43 : x
  2. Step 2: Convert to fraction form
    22,831.99/31,508.03 = 12,760.43/x
  3. Step 3: Cross multiply
    22,831.99x = 31,508.03 × 12,760.43
  4. Step 4: Simplify right side
    22,831.99x = 402,055,885.61
  5. Step 5: Solve for x
    x = 402,055,885.61/22,831.99
  6. Step 6: Final answer
    x = 17,609.32

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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.