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Finding the Fourth Proportional to 12,716.77, 17,545.57 and 10,019.63

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Solution

The fourth proportional to 12,716.77, 17,545.57 and 10,019.63 is: 13,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.77 : 17,545.57 = 10,019.63 : x
  2. Step 2: Convert to fraction form
    12,716.77/17,545.57 = 10,019.63/x
  3. Step 3: Cross multiply
    12,716.77x = 17,545.57 × 10,019.63
  4. Step 4: Simplify right side
    12,716.77x = 175,800,111.72
  5. Step 5: Solve for x
    x = 175,800,111.72/12,716.77
  6. Step 6: Final answer
    x = 13,824.27

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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.