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Finding the Fourth Proportional to 19,920.19, 27,491.47 and 11,423.10

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Solution

The fourth proportional to 19,920.19, 27,491.47 and 11,423.10 is: 15,764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.19 : 27,491.47 = 11,423.10 : x
  2. Step 2: Convert to fraction form
    19,920.19/27,491.47 = 11,423.10/x
  3. Step 3: Cross multiply
    19,920.19x = 27,491.47 × 11,423.10
  4. Step 4: Simplify right side
    19,920.19x = 314,037,616.38
  5. Step 5: Solve for x
    x = 314,037,616.38/19,920.19
  6. Step 6: Final answer
    x = 15,764.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.