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Finding the Fourth Proportional to 24,274.59, 36,410.76 and 6,505.23

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Solution

The fourth proportional to 24,274.59, 36,410.76 and 6,505.23 is: 9,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.59 : 36,410.76 = 6,505.23 : x
  2. Step 2: Convert to fraction form
    24,274.59/36,410.76 = 6,505.23/x
  3. Step 3: Cross multiply
    24,274.59x = 36,410.76 × 6,505.23
  4. Step 4: Simplify right side
    24,274.59x = 236,860,368.27
  5. Step 5: Solve for x
    x = 236,860,368.27/24,274.59
  6. Step 6: Final answer
    x = 9,757.54

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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.