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Finding the Fourth Proportional to 24,355.36, 36,511.08 and 8,762

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Solution

The fourth proportional to 24,355.36, 36,511.08 and 8,762 is: 13,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,355.36 : 36,511.08 = 8,762 : x
  2. Step 2: Convert to fraction form
    24,355.36/36,511.08 = 8,762/x
  3. Step 3: Cross multiply
    24,355.36x = 36,511.08 × 8,762
  4. Step 4: Simplify right side
    24,355.36x = 319,910,082.96
  5. Step 5: Solve for x
    x = 319,910,082.96/24,355.36
  6. Step 6: Final answer
    x = 13,135.10

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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.