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Finding the Fourth Proportional to 22,879.86, 31,574.70 and 16,177.30

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Solution

The fourth proportional to 22,879.86, 31,574.70 and 16,177.30 is: 22,325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,879.86 : 31,574.70 = 16,177.30 : x
  2. Step 2: Convert to fraction form
    22,879.86/31,574.70 = 16,177.30/x
  3. Step 3: Cross multiply
    22,879.86x = 31,574.70 × 16,177.30
  4. Step 4: Simplify right side
    22,879.86x = 510,793,394.31
  5. Step 5: Solve for x
    x = 510,793,394.31/22,879.86
  6. Step 6: Final answer
    x = 22,325.02

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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.