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Finding the Fourth Proportional to 12,290.31, 18,441.54 and 5,708.66

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Solution

The fourth proportional to 12,290.31, 18,441.54 and 5,708.66 is: 8,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.31 : 18,441.54 = 5,708.66 : x
  2. Step 2: Convert to fraction form
    12,290.31/18,441.54 = 5,708.66/x
  3. Step 3: Cross multiply
    12,290.31x = 18,441.54 × 5,708.66
  4. Step 4: Simplify right side
    12,290.31x = 105,276,389.53
  5. Step 5: Solve for x
    x = 105,276,389.53/12,290.31
  6. Step 6: Final answer
    x = 8,565.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.