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Finding the Fourth Proportional to 24,532.90, 33,856.03 and 13,778.63

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Solution

The fourth proportional to 24,532.90, 33,856.03 and 13,778.63 is: 19,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.90 : 33,856.03 = 13,778.63 : x
  2. Step 2: Convert to fraction form
    24,532.90/33,856.03 = 13,778.63/x
  3. Step 3: Cross multiply
    24,532.90x = 33,856.03 × 13,778.63
  4. Step 4: Simplify right side
    24,532.90x = 466,489,710.64
  5. Step 5: Solve for x
    x = 466,489,710.64/24,532.90
  6. Step 6: Final answer
    x = 19,014.86

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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.