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Finding the Fourth Proportional to 22,386.71, 30,891.45 and 12,824.77

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Solution

The fourth proportional to 22,386.71, 30,891.45 and 12,824.77 is: 17,696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,386.71 : 30,891.45 = 12,824.77 : x
  2. Step 2: Convert to fraction form
    22,386.71/30,891.45 = 12,824.77/x
  3. Step 3: Cross multiply
    22,386.71x = 30,891.45 × 12,824.77
  4. Step 4: Simplify right side
    22,386.71x = 396,175,741.22
  5. Step 5: Solve for x
    x = 396,175,741.22/22,386.71
  6. Step 6: Final answer
    x = 17,696.92

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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.