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Finding the Fourth Proportional to 25,448.61, 38,178.45 and 7,919.85

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Solution

The fourth proportional to 25,448.61, 38,178.45 and 7,919.85 is: 11,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,448.61 : 38,178.45 = 7,919.85 : x
  2. Step 2: Convert to fraction form
    25,448.61/38,178.45 = 7,919.85/x
  3. Step 3: Cross multiply
    25,448.61x = 38,178.45 × 7,919.85
  4. Step 4: Simplify right side
    25,448.61x = 302,367,597.23
  5. Step 5: Solve for x
    x = 302,367,597.23/25,448.61
  6. Step 6: Final answer
    x = 11,881.50

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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.