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Finding the Fourth Proportional to 12,585.17, 17,366.35 and 6,919.83

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Solution

The fourth proportional to 12,585.17, 17,366.35 and 6,919.83 is: 9,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.17 : 17,366.35 = 6,919.83 : x
  2. Step 2: Convert to fraction form
    12,585.17/17,366.35 = 6,919.83/x
  3. Step 3: Cross multiply
    12,585.17x = 17,366.35 × 6,919.83
  4. Step 4: Simplify right side
    12,585.17x = 120,172,185.40
  5. Step 5: Solve for x
    x = 120,172,185.40/12,585.17
  6. Step 6: Final answer
    x = 9,548.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.