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Finding the Fourth Proportional to 12,952.86, 19,447.05 and 6,717.18

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Solution

The fourth proportional to 12,952.86, 19,447.05 and 6,717.18 is: 10,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.86 : 19,447.05 = 6,717.18 : x
  2. Step 2: Convert to fraction form
    12,952.86/19,447.05 = 6,717.18/x
  3. Step 3: Cross multiply
    12,952.86x = 19,447.05 × 6,717.18
  4. Step 4: Simplify right side
    12,952.86x = 130,629,335.32
  5. Step 5: Solve for x
    x = 130,629,335.32/12,952.86
  6. Step 6: Final answer
    x = 10,084.98

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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.