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Finding the Fourth Proportional to 24,023.60, 36,035.40 and 8,442.80

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Solution

The fourth proportional to 24,023.60, 36,035.40 and 8,442.80 is: 12,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023.60 : 36,035.40 = 8,442.80 : x
  2. Step 2: Convert to fraction form
    24,023.60/36,035.40 = 8,442.80/x
  3. Step 3: Cross multiply
    24,023.60x = 36,035.40 × 8,442.80
  4. Step 4: Simplify right side
    24,023.60x = 304,239,675.12
  5. Step 5: Solve for x
    x = 304,239,675.12/24,023.60
  6. Step 6: Final answer
    x = 12,664.20

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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.