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Finding the Fourth Proportional to 24,630.82, 36,949.88 and 9,047.23

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Solution

The fourth proportional to 24,630.82, 36,949.88 and 9,047.23 is: 13,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,630.82 : 36,949.88 = 9,047.23 : x
  2. Step 2: Convert to fraction form
    24,630.82/36,949.88 = 9,047.23/x
  3. Step 3: Cross multiply
    24,630.82x = 36,949.88 × 9,047.23
  4. Step 4: Simplify right side
    24,630.82x = 334,294,062.83
  5. Step 5: Solve for x
    x = 334,294,062.83/24,630.82
  6. Step 6: Final answer
    x = 13,572.19

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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.