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Finding the Fourth Proportional to 27,407.50, 41,086.59 and 9,865

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Solution

The fourth proportional to 27,407.50, 41,086.59 and 9,865 is: 14,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.50 : 41,086.59 = 9,865 : x
  2. Step 2: Convert to fraction form
    27,407.50/41,086.59 = 9,865/x
  3. Step 3: Cross multiply
    27,407.50x = 41,086.59 × 9,865
  4. Step 4: Simplify right side
    27,407.50x = 405,319,210.35
  5. Step 5: Solve for x
    x = 405,319,210.35/27,407.50
  6. Step 6: Final answer
    x = 14,788.62

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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.