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Finding the Fourth Proportional to 27,514.86, 41,264.50 and 10,643.98

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Solution

The fourth proportional to 27,514.86, 41,264.50 and 10,643.98 is: 15,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,514.86 : 41,264.50 = 10,643.98 : x
  2. Step 2: Convert to fraction form
    27,514.86/41,264.50 = 10,643.98/x
  3. Step 3: Cross multiply
    27,514.86x = 41,264.50 × 10,643.98
  4. Step 4: Simplify right side
    27,514.86x = 439,218,512.71
  5. Step 5: Solve for x
    x = 439,218,512.71/27,514.86
  6. Step 6: Final answer
    x = 15,962.96

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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.