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Finding the Fourth Proportional to 22,769.32, 31,421.79 and 12,698.18

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Solution

The fourth proportional to 22,769.32, 31,421.79 and 12,698.18 is: 17,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.32 : 31,421.79 = 12,698.18 : x
  2. Step 2: Convert to fraction form
    22,769.32/31,421.79 = 12,698.18/x
  3. Step 3: Cross multiply
    22,769.32x = 31,421.79 × 12,698.18
  4. Step 4: Simplify right side
    22,769.32x = 398,999,545.34
  5. Step 5: Solve for x
    x = 398,999,545.34/22,769.32
  6. Step 6: Final answer
    x = 17,523.56

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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.