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Finding the Fourth Proportional to 12,584.32, 17,366.24 and 6,918.88

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Solution

The fourth proportional to 12,584.32, 17,366.24 and 6,918.88 is: 9,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.32 : 17,366.24 = 6,918.88 : x
  2. Step 2: Convert to fraction form
    12,584.32/17,366.24 = 6,918.88/x
  3. Step 3: Cross multiply
    12,584.32x = 17,366.24 × 6,918.88
  4. Step 4: Simplify right side
    12,584.32x = 120,154,930.61
  5. Step 5: Solve for x
    x = 120,154,930.61/12,584.32
  6. Step 6: Final answer
    x = 9,547.99

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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.