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Finding the Fourth Proportional to 24,420.80, 36,627.60 and 6,892.40

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Solution

The fourth proportional to 24,420.80, 36,627.60 and 6,892.40 is: 10,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,420.80 : 36,627.60 = 6,892.40 : x
  2. Step 2: Convert to fraction form
    24,420.80/36,627.60 = 6,892.40/x
  3. Step 3: Cross multiply
    24,420.80x = 36,627.60 × 6,892.40
  4. Step 4: Simplify right side
    24,420.80x = 252,452,070.24
  5. Step 5: Solve for x
    x = 252,452,070.24/24,420.80
  6. Step 6: Final answer
    x = 10,337.58

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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.