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Finding the Fourth Proportional to 19,769.48, 27,291.84 and 15,283.10

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Solution

The fourth proportional to 19,769.48, 27,291.84 and 15,283.10 is: 21,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769.48 : 27,291.84 = 15,283.10 : x
  2. Step 2: Convert to fraction form
    19,769.48/27,291.84 = 15,283.10/x
  3. Step 3: Cross multiply
    19,769.48x = 27,291.84 × 15,283.10
  4. Step 4: Simplify right side
    19,769.48x = 417,103,919.90
  5. Step 5: Solve for x
    x = 417,103,919.90/19,769.48
  6. Step 6: Final answer
    x = 21,098.38

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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.