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Finding the Fourth Proportional to 24,171.06, 36,256.62 and 6,643.50

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Solution

The fourth proportional to 24,171.06, 36,256.62 and 6,643.50 is: 9,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,171.06 : 36,256.62 = 6,643.50 : x
  2. Step 2: Convert to fraction form
    24,171.06/36,256.62 = 6,643.50/x
  3. Step 3: Cross multiply
    24,171.06x = 36,256.62 × 6,643.50
  4. Step 4: Simplify right side
    24,171.06x = 240,870,854.97
  5. Step 5: Solve for x
    x = 240,870,854.97/24,171.06
  6. Step 6: Final answer
    x = 9,965.26

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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.