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Finding the Fourth Proportional to 25,373.25, 38,063.51 and 7,844.45

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Solution

The fourth proportional to 25,373.25, 38,063.51 and 7,844.45 is: 11,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,373.25 : 38,063.51 = 7,844.45 : x
  2. Step 2: Convert to fraction form
    25,373.25/38,063.51 = 7,844.45/x
  3. Step 3: Cross multiply
    25,373.25x = 38,063.51 × 7,844.45
  4. Step 4: Simplify right side
    25,373.25x = 298,587,071.48
  5. Step 5: Solve for x
    x = 298,587,071.48/25,373.25
  6. Step 6: Final answer
    x = 11,767.79

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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.