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Finding the Fourth Proportional to 24,603.48, 36,910.58 and 7,965.18

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Solution

The fourth proportional to 24,603.48, 36,910.58 and 7,965.18 is: 11,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603.48 : 36,910.58 = 7,965.18 : x
  2. Step 2: Convert to fraction form
    24,603.48/36,910.58 = 7,965.18/x
  3. Step 3: Cross multiply
    24,603.48x = 36,910.58 × 7,965.18
  4. Step 4: Simplify right side
    24,603.48x = 293,999,373.78
  5. Step 5: Solve for x
    x = 293,999,373.78/24,603.48
  6. Step 6: Final answer
    x = 11,949.50

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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.