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Finding the Fourth Proportional to 25,898.01, 38,848.97 and 7,177.83

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Solution

The fourth proportional to 25,898.01, 38,848.97 and 7,177.83 is: 10,767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,898.01 : 38,848.97 = 7,177.83 : x
  2. Step 2: Convert to fraction form
    25,898.01/38,848.97 = 7,177.83/x
  3. Step 3: Cross multiply
    25,898.01x = 38,848.97 × 7,177.83
  4. Step 4: Simplify right side
    25,898.01x = 278,851,302.34
  5. Step 5: Solve for x
    x = 278,851,302.34/25,898.01
  6. Step 6: Final answer
    x = 10,767.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.