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Finding the Fourth Proportional to 25,468, 38,211.72 and 9,886.84

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Solution

The fourth proportional to 25,468, 38,211.72 and 9,886.84 is: 14,834.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,468 : 38,211.72 = 9,886.84 : x
  2. Step 2: Convert to fraction form
    25,468/38,211.72 = 9,886.84/x
  3. Step 3: Cross multiply
    25,468x = 38,211.72 × 9,886.84
  4. Step 4: Simplify right side
    25,468x = 377,793,161.76
  5. Step 5: Solve for x
    x = 377,793,161.76/25,468
  6. Step 6: Final answer
    x = 14,834.03

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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.