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Finding the Fourth Proportional to 24,603.03, 36,909.95 and 7,964.78

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Solution

The fourth proportional to 24,603.03, 36,909.95 and 7,964.78 is: 11,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603.03 : 36,909.95 = 7,964.78 : x
  2. Step 2: Convert to fraction form
    24,603.03/36,909.95 = 7,964.78/x
  3. Step 3: Cross multiply
    24,603.03x = 36,909.95 × 7,964.78
  4. Step 4: Simplify right side
    24,603.03x = 293,979,407.19
  5. Step 5: Solve for x
    x = 293,979,407.19/24,603.03
  6. Step 6: Final answer
    x = 11,948.91

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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.