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Finding the Fourth Proportional to 24,452.50, 36,678.75 and 8,870.14

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Solution

The fourth proportional to 24,452.50, 36,678.75 and 8,870.14 is: 13,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.50 : 36,678.75 = 8,870.14 : x
  2. Step 2: Convert to fraction form
    24,452.50/36,678.75 = 8,870.14/x
  3. Step 3: Cross multiply
    24,452.50x = 36,678.75 × 8,870.14
  4. Step 4: Simplify right side
    24,452.50x = 325,345,647.53
  5. Step 5: Solve for x
    x = 325,345,647.53/24,452.50
  6. Step 6: Final answer
    x = 13,305.21

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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.