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Finding the Fourth Proportional to 27,041.94, 40,543.56 and 10,398.87

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Solution

The fourth proportional to 27,041.94, 40,543.56 and 10,398.87 is: 15,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,041.94 : 40,543.56 = 10,398.87 : x
  2. Step 2: Convert to fraction form
    27,041.94/40,543.56 = 10,398.87/x
  3. Step 3: Cross multiply
    27,041.94x = 40,543.56 × 10,398.87
  4. Step 4: Simplify right side
    27,041.94x = 421,607,209.78
  5. Step 5: Solve for x
    x = 421,607,209.78/27,041.94
  6. Step 6: Final answer
    x = 15,590.86

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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.