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Finding the Fourth Proportional to 19,854.72, 27,400.02 and 10,902.90

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Solution

The fourth proportional to 19,854.72, 27,400.02 and 10,902.90 is: 15,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.72 : 27,400.02 = 10,902.90 : x
  2. Step 2: Convert to fraction form
    19,854.72/27,400.02 = 10,902.90/x
  3. Step 3: Cross multiply
    19,854.72x = 27,400.02 × 10,902.90
  4. Step 4: Simplify right side
    19,854.72x = 298,739,678.06
  5. Step 5: Solve for x
    x = 298,739,678.06/19,854.72
  6. Step 6: Final answer
    x = 15,046.28

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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.