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Finding the Fourth Proportional to 22,937.91, 31,652.67 and 12,729.48

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Solution

The fourth proportional to 22,937.91, 31,652.67 and 12,729.48 is: 17,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.91 : 31,652.67 = 12,729.48 : x
  2. Step 2: Convert to fraction form
    22,937.91/31,652.67 = 12,729.48/x
  3. Step 3: Cross multiply
    22,937.91x = 31,652.67 × 12,729.48
  4. Step 4: Simplify right side
    22,937.91x = 402,922,029.71
  5. Step 5: Solve for x
    x = 402,922,029.71/22,937.91
  6. Step 6: Final answer
    x = 17,565.77

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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.