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Finding the Fourth Proportional to 25,564.80, 38,351.40 and 8,030.40

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Solution

The fourth proportional to 25,564.80, 38,351.40 and 8,030.40 is: 12,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564.80 : 38,351.40 = 8,030.40 : x
  2. Step 2: Convert to fraction form
    25,564.80/38,351.40 = 8,030.40/x
  3. Step 3: Cross multiply
    25,564.80x = 38,351.40 × 8,030.40
  4. Step 4: Simplify right side
    25,564.80x = 307,977,082.56
  5. Step 5: Solve for x
    x = 307,977,082.56/25,564.80
  6. Step 6: Final answer
    x = 12,046.92

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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.