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Finding the Fourth Proportional to 24,001.77, 35,998.53 and 6,467.49

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Solution

The fourth proportional to 24,001.77, 35,998.53 and 6,467.49 is: 9,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,001.77 : 35,998.53 = 6,467.49 : x
  2. Step 2: Convert to fraction form
    24,001.77/35,998.53 = 6,467.49/x
  3. Step 3: Cross multiply
    24,001.77x = 35,998.53 × 6,467.49
  4. Step 4: Simplify right side
    24,001.77x = 232,820,132.79
  5. Step 5: Solve for x
    x = 232,820,132.79/24,001.77
  6. Step 6: Final answer
    x = 9,700.12

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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.