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Finding the Fourth Proportional to 27,781.94, 38,340 and 15,206.69

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Solution

The fourth proportional to 27,781.94, 38,340 and 15,206.69 is: 20,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.94 : 38,340 = 15,206.69 : x
  2. Step 2: Convert to fraction form
    27,781.94/38,340 = 15,206.69/x
  3. Step 3: Cross multiply
    27,781.94x = 38,340 × 15,206.69
  4. Step 4: Simplify right side
    27,781.94x = 583,024,494.60
  5. Step 5: Solve for x
    x = 583,024,494.60/27,781.94
  6. Step 6: Final answer
    x = 20,985.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.