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Finding the Fourth Proportional to 24,780.64, 34,196.52 and 13,449.60

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Solution

The fourth proportional to 24,780.64, 34,196.52 and 13,449.60 is: 18,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780.64 : 34,196.52 = 13,449.60 : x
  2. Step 2: Convert to fraction form
    24,780.64/34,196.52 = 13,449.60/x
  3. Step 3: Cross multiply
    24,780.64x = 34,196.52 × 13,449.60
  4. Step 4: Simplify right side
    24,780.64x = 459,929,515.39
  5. Step 5: Solve for x
    x = 459,929,515.39/24,780.64
  6. Step 6: Final answer
    x = 18,560.03

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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.