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Finding the Fourth Proportional to 24,609.88, 36,859.74 and 11,442.52

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Solution

The fourth proportional to 24,609.88, 36,859.74 and 11,442.52 is: 17,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,609.88 : 36,859.74 = 11,442.52 : x
  2. Step 2: Convert to fraction form
    24,609.88/36,859.74 = 11,442.52/x
  3. Step 3: Cross multiply
    24,609.88x = 36,859.74 × 11,442.52
  4. Step 4: Simplify right side
    24,609.88x = 421,768,312.14
  5. Step 5: Solve for x
    x = 421,768,312.14/24,609.88
  6. Step 6: Final answer
    x = 17,138.17

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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.