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Finding the Fourth Proportional to 27,781.76, 38,339.46 and 15,206.54

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Solution

The fourth proportional to 27,781.76, 38,339.46 and 15,206.54 is: 20,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.76 : 38,339.46 = 15,206.54 : x
  2. Step 2: Convert to fraction form
    27,781.76/38,339.46 = 15,206.54/x
  3. Step 3: Cross multiply
    27,781.76x = 38,339.46 × 15,206.54
  4. Step 4: Simplify right side
    27,781.76x = 583,010,532.07
  5. Step 5: Solve for x
    x = 583,010,532.07/27,781.76
  6. Step 6: Final answer
    x = 20,985.37

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