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Finding the Fourth Proportional to 24,478.32, 33,779 and 13,867.74

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Solution

The fourth proportional to 24,478.32, 33,779 and 13,867.74 is: 19,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.32 : 33,779 = 13,867.74 : x
  2. Step 2: Convert to fraction form
    24,478.32/33,779 = 13,867.74/x
  3. Step 3: Cross multiply
    24,478.32x = 33,779 × 13,867.74
  4. Step 4: Simplify right side
    24,478.32x = 468,438,389.46
  5. Step 5: Solve for x
    x = 468,438,389.46/24,478.32
  6. Step 6: Final answer
    x = 19,136.87

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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.