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Finding the Fourth Proportional to 27,780.98, 41,684.73 and 12,987.74

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Solution

The fourth proportional to 27,780.98, 41,684.73 and 12,987.74 is: 19,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.98 : 41,684.73 = 12,987.74 : x
  2. Step 2: Convert to fraction form
    27,780.98/41,684.73 = 12,987.74/x
  3. Step 3: Cross multiply
    27,780.98x = 41,684.73 × 12,987.74
  4. Step 4: Simplify right side
    27,780.98x = 541,390,490.72
  5. Step 5: Solve for x
    x = 541,390,490.72/27,780.98
  6. Step 6: Final answer
    x = 19,487.81

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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.