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Finding the Fourth Proportional to 24,001.85, 35,998.44 and 6,467.58

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Solution

The fourth proportional to 24,001.85, 35,998.44 and 6,467.58 is: 9,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,001.85 : 35,998.44 = 6,467.58 : x
  2. Step 2: Convert to fraction form
    24,001.85/35,998.44 = 6,467.58/x
  3. Step 3: Cross multiply
    24,001.85x = 35,998.44 × 6,467.58
  4. Step 4: Simplify right side
    24,001.85x = 232,822,790.58
  5. Step 5: Solve for x
    x = 232,822,790.58/24,001.85
  6. Step 6: Final answer
    x = 9,700.20

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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.