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Finding the Fourth Proportional to 19,872.64, 27,424.23 and 10,920.13

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Solution

The fourth proportional to 19,872.64, 27,424.23 and 10,920.13 is: 15,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.64 : 27,424.23 = 10,920.13 : x
  2. Step 2: Convert to fraction form
    19,872.64/27,424.23 = 10,920.13/x
  3. Step 3: Cross multiply
    19,872.64x = 27,424.23 × 10,920.13
  4. Step 4: Simplify right side
    19,872.64x = 299,476,156.75
  5. Step 5: Solve for x
    x = 299,476,156.75/19,872.64
  6. Step 6: Final answer
    x = 15,069.77

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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.