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Finding the Fourth Proportional to 24,024.88, 36,035.97 and 6,493.42

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Solution

The fourth proportional to 24,024.88, 36,035.97 and 6,493.42 is: 9,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,024.88 : 36,035.97 = 6,493.42 : x
  2. Step 2: Convert to fraction form
    24,024.88/36,035.97 = 6,493.42/x
  3. Step 3: Cross multiply
    24,024.88x = 36,035.97 × 6,493.42
  4. Step 4: Simplify right side
    24,024.88x = 233,996,688.32
  5. Step 5: Solve for x
    x = 233,996,688.32/24,024.88
  6. Step 6: Final answer
    x = 9,739.77

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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.