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Finding the Fourth Proportional to 23,055.86, 31,778.85 and 16,332.86

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Solution

The fourth proportional to 23,055.86, 31,778.85 and 16,332.86 is: 22,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,055.86 : 31,778.85 = 16,332.86 : x
  2. Step 2: Convert to fraction form
    23,055.86/31,778.85 = 16,332.86/x
  3. Step 3: Cross multiply
    23,055.86x = 31,778.85 × 16,332.86
  4. Step 4: Simplify right side
    23,055.86x = 519,039,508.01
  5. Step 5: Solve for x
    x = 519,039,508.01/23,055.86
  6. Step 6: Final answer
    x = 22,512.26

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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.