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Finding the Fourth Proportional to 12,744.90, 19,117.68 and 6,169.86

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Solution

The fourth proportional to 12,744.90, 19,117.68 and 6,169.86 is: 9,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.90 : 19,117.68 = 6,169.86 : x
  2. Step 2: Convert to fraction form
    12,744.90/19,117.68 = 6,169.86/x
  3. Step 3: Cross multiply
    12,744.90x = 19,117.68 × 6,169.86
  4. Step 4: Simplify right side
    12,744.90x = 117,953,409.12
  5. Step 5: Solve for x
    x = 117,953,409.12/12,744.90
  6. Step 6: Final answer
    x = 9,254.95

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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.