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Finding the Fourth Proportional to 24,289, 36,408.88 and 11,798.50

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Solution

The fourth proportional to 24,289, 36,408.88 and 11,798.50 is: 17,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289 : 36,408.88 = 11,798.50 : x
  2. Step 2: Convert to fraction form
    24,289/36,408.88 = 11,798.50/x
  3. Step 3: Cross multiply
    24,289x = 36,408.88 × 11,798.50
  4. Step 4: Simplify right side
    24,289x = 429,570,170.68
  5. Step 5: Solve for x
    x = 429,570,170.68/24,289
  6. Step 6: Final answer
    x = 17,685.79

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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.