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Finding the Fourth Proportional to 19,872.26, 27,423.65 and 10,920.14

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Solution

The fourth proportional to 19,872.26, 27,423.65 and 10,920.14 is: 15,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.26 : 27,423.65 = 10,920.14 : x
  2. Step 2: Convert to fraction form
    19,872.26/27,423.65 = 10,920.14/x
  3. Step 3: Cross multiply
    19,872.26x = 27,423.65 × 10,920.14
  4. Step 4: Simplify right side
    19,872.26x = 299,470,042.71
  5. Step 5: Solve for x
    x = 299,470,042.71/19,872.26
  6. Step 6: Final answer
    x = 15,069.75

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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.