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Finding the Fourth Proportional to 12,717.90, 19,076.67 and 3,952.80

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Solution

The fourth proportional to 12,717.90, 19,076.67 and 3,952.80 is: 5,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.90 : 19,076.67 = 3,952.80 : x
  2. Step 2: Convert to fraction form
    12,717.90/19,076.67 = 3,952.80/x
  3. Step 3: Cross multiply
    12,717.90x = 19,076.67 × 3,952.80
  4. Step 4: Simplify right side
    12,717.90x = 75,406,261.18
  5. Step 5: Solve for x
    x = 75,406,261.18/12,717.90
  6. Step 6: Final answer
    x = 5,929.14

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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.