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Finding the Fourth Proportional to 22,871.36, 31,565.79 and 13,178.93

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Solution

The fourth proportional to 22,871.36, 31,565.79 and 13,178.93 is: 18,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,871.36 : 31,565.79 = 13,178.93 : x
  2. Step 2: Convert to fraction form
    22,871.36/31,565.79 = 13,178.93/x
  3. Step 3: Cross multiply
    22,871.36x = 31,565.79 × 13,178.93
  4. Step 4: Simplify right side
    22,871.36x = 416,003,415.72
  5. Step 5: Solve for x
    x = 416,003,415.72/22,871.36
  6. Step 6: Final answer
    x = 18,188.83

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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.