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Finding the Fourth Proportional to 24,239.04, 36,358.48 and 7,823.04

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Solution

The fourth proportional to 24,239.04, 36,358.48 and 7,823.04 is: 11,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,239.04 : 36,358.48 = 7,823.04 : x
  2. Step 2: Convert to fraction form
    24,239.04/36,358.48 = 7,823.04/x
  3. Step 3: Cross multiply
    24,239.04x = 36,358.48 × 7,823.04
  4. Step 4: Simplify right side
    24,239.04x = 284,433,843.38
  5. Step 5: Solve for x
    x = 284,433,843.38/24,239.04
  6. Step 6: Final answer
    x = 11,734.53

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1.5x scale

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.