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Finding the Fourth Proportional to 12,567.71, 17,344.40 and 8,594.19

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Solution

The fourth proportional to 12,567.71, 17,344.40 and 8,594.19 is: 11,860.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.71 : 17,344.40 = 8,594.19 : x
  2. Step 2: Convert to fraction form
    12,567.71/17,344.40 = 8,594.19/x
  3. Step 3: Cross multiply
    12,567.71x = 17,344.40 × 8,594.19
  4. Step 4: Simplify right side
    12,567.71x = 149,061,026.07
  5. Step 5: Solve for x
    x = 149,061,026.07/12,567.71
  6. Step 6: Final answer
    x = 11,860.63

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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.