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Finding the Fourth Proportional to 12,569.07, 17,344.63 and 7,191.61

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Solution

The fourth proportional to 12,569.07, 17,344.63 and 7,191.61 is: 9,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.07 : 17,344.63 = 7,191.61 : x
  2. Step 2: Convert to fraction form
    12,569.07/17,344.63 = 7,191.61/x
  3. Step 3: Cross multiply
    12,569.07x = 17,344.63 × 7,191.61
  4. Step 4: Simplify right side
    12,569.07x = 124,735,727.83
  5. Step 5: Solve for x
    x = 124,735,727.83/12,569.07
  6. Step 6: Final answer
    x = 9,924.03

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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.