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Finding the Fourth Proportional to 24,562.18, 36,843.16 and 7,032

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Solution

The fourth proportional to 24,562.18, 36,843.16 and 7,032 is: 10,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,562.18 : 36,843.16 = 7,032 : x
  2. Step 2: Convert to fraction form
    24,562.18/36,843.16 = 7,032/x
  3. Step 3: Cross multiply
    24,562.18x = 36,843.16 × 7,032
  4. Step 4: Simplify right side
    24,562.18x = 259,081,065.96
  5. Step 5: Solve for x
    x = 259,081,065.96/24,562.18
  6. Step 6: Final answer
    x = 10,547.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.