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Finding the Fourth Proportional to 21,034.59, 31,565.57 and 11,180.78

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Solution

The fourth proportional to 21,034.59, 31,565.57 and 11,180.78 is: 16,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.59 : 31,565.57 = 11,180.78 : x
  2. Step 2: Convert to fraction form
    21,034.59/31,565.57 = 11,180.78/x
  3. Step 3: Cross multiply
    21,034.59x = 31,565.57 × 11,180.78
  4. Step 4: Simplify right side
    21,034.59x = 352,927,870.28
  5. Step 5: Solve for x
    x = 352,927,870.28/21,034.59
  6. Step 6: Final answer
    x = 16,778.46

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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.