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Finding the Fourth Proportional to 25,626, 38,444.67 and 7,859.13

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Solution

The fourth proportional to 25,626, 38,444.67 and 7,859.13 is: 11,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,626 : 38,444.67 = 7,859.13 : x
  2. Step 2: Convert to fraction form
    25,626/38,444.67 = 7,859.13/x
  3. Step 3: Cross multiply
    25,626x = 38,444.67 × 7,859.13
  4. Step 4: Simplify right side
    25,626x = 302,141,659.34
  5. Step 5: Solve for x
    x = 302,141,659.34/25,626
  6. Step 6: Final answer
    x = 11,790.43

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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.