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Finding the Fourth Proportional to 13,138.25, 19,687.71 and 6,798.74

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Solution

The fourth proportional to 13,138.25, 19,687.71 and 6,798.74 is: 10,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.25 : 19,687.71 = 6,798.74 : x
  2. Step 2: Convert to fraction form
    13,138.25/19,687.71 = 6,798.74/x
  3. Step 3: Cross multiply
    13,138.25x = 19,687.71 × 6,798.74
  4. Step 4: Simplify right side
    13,138.25x = 133,851,510.30
  5. Step 5: Solve for x
    x = 133,851,510.30/13,138.25
  6. Step 6: Final answer
    x = 10,187.92

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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.