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Finding the Fourth Proportional to 24,315.39, 36,477.95 and 7,676.98

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Solution

The fourth proportional to 24,315.39, 36,477.95 and 7,676.98 is: 11,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.39 : 36,477.95 = 7,676.98 : x
  2. Step 2: Convert to fraction form
    24,315.39/36,477.95 = 7,676.98/x
  3. Step 3: Cross multiply
    24,315.39x = 36,477.95 × 7,676.98
  4. Step 4: Simplify right side
    24,315.39x = 280,040,363.01
  5. Step 5: Solve for x
    x = 280,040,363.01/24,315.39
  6. Step 6: Final answer
    x = 11,517.00

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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.