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Finding the Fourth Proportional to 24,603.64, 36,882.80 and 9,809

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Solution

The fourth proportional to 24,603.64, 36,882.80 and 9,809 is: 14,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603.64 : 36,882.80 = 9,809 : x
  2. Step 2: Convert to fraction form
    24,603.64/36,882.80 = 9,809/x
  3. Step 3: Cross multiply
    24,603.64x = 36,882.80 × 9,809
  4. Step 4: Simplify right side
    24,603.64x = 361,783,385.20
  5. Step 5: Solve for x
    x = 361,783,385.20/24,603.64
  6. Step 6: Final answer
    x = 14,704.47

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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.