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Finding the Fourth Proportional to 12,374.92, 18,564.30 and 4,165

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Solution

The fourth proportional to 12,374.92, 18,564.30 and 4,165 is: 6,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.92 : 18,564.30 = 4,165 : x
  2. Step 2: Convert to fraction form
    12,374.92/18,564.30 = 4,165/x
  3. Step 3: Cross multiply
    12,374.92x = 18,564.30 × 4,165
  4. Step 4: Simplify right side
    12,374.92x = 77,320,309.50
  5. Step 5: Solve for x
    x = 77,320,309.50/12,374.92
  6. Step 6: Final answer
    x = 6,248.15

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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.