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Finding the Fourth Proportional to 24,830.80, 34,266.24 and 13,500.64

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Solution

The fourth proportional to 24,830.80, 34,266.24 and 13,500.64 is: 18,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,830.80 : 34,266.24 = 13,500.64 : x
  2. Step 2: Convert to fraction form
    24,830.80/34,266.24 = 13,500.64/x
  3. Step 3: Cross multiply
    24,830.80x = 34,266.24 × 13,500.64
  4. Step 4: Simplify right side
    24,830.80x = 462,616,170.39
  5. Step 5: Solve for x
    x = 462,616,170.39/24,830.80
  6. Step 6: Final answer
    x = 18,630.74

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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.