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Finding the Fourth Proportional to 22,717.68, 31,332.63 and 14,762.46

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Solution

The fourth proportional to 22,717.68, 31,332.63 and 14,762.46 is: 20,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,717.68 : 31,332.63 = 14,762.46 : x
  2. Step 2: Convert to fraction form
    22,717.68/31,332.63 = 14,762.46/x
  3. Step 3: Cross multiply
    22,717.68x = 31,332.63 × 14,762.46
  4. Step 4: Simplify right side
    22,717.68x = 462,546,540.41
  5. Step 5: Solve for x
    x = 462,546,540.41/22,717.68
  6. Step 6: Final answer
    x = 20,360.65

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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.