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Finding the Fourth Proportional to 12,695.19, 19,046.69 and 5,681.12

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Solution

The fourth proportional to 12,695.19, 19,046.69 and 5,681.12 is: 8,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.19 : 19,046.69 = 5,681.12 : x
  2. Step 2: Convert to fraction form
    12,695.19/19,046.69 = 5,681.12/x
  3. Step 3: Cross multiply
    12,695.19x = 19,046.69 × 5,681.12
  4. Step 4: Simplify right side
    12,695.19x = 108,206,407.85
  5. Step 5: Solve for x
    x = 108,206,407.85/12,695.19
  6. Step 6: Final answer
    x = 8,523.42

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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.