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Finding the Fourth Proportional to 27,005.52, 40,514.81 and 10,138.68

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Solution

The fourth proportional to 27,005.52, 40,514.81 and 10,138.68 is: 15,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005.52 : 40,514.81 = 10,138.68 : x
  2. Step 2: Convert to fraction form
    27,005.52/40,514.81 = 10,138.68/x
  3. Step 3: Cross multiply
    27,005.52x = 40,514.81 × 10,138.68
  4. Step 4: Simplify right side
    27,005.52x = 410,766,643.16
  5. Step 5: Solve for x
    x = 410,766,643.16/27,005.52
  6. Step 6: Final answer
    x = 15,210.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.