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Finding the Fourth Proportional to 24,617.10, 36,924.42 and 9,033.50

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Solution

The fourth proportional to 24,617.10, 36,924.42 and 9,033.50 is: 13,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.10 : 36,924.42 = 9,033.50 : x
  2. Step 2: Convert to fraction form
    24,617.10/36,924.42 = 9,033.50/x
  3. Step 3: Cross multiply
    24,617.10x = 36,924.42 × 9,033.50
  4. Step 4: Simplify right side
    24,617.10x = 333,556,748.07
  5. Step 5: Solve for x
    x = 333,556,748.07/24,617.10
  6. Step 6: Final answer
    x = 13,549.80

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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.