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Finding the Fourth Proportional to 12,195.63, 18,253.35 and 9,257.76

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Solution

The fourth proportional to 12,195.63, 18,253.35 and 9,257.76 is: 13,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.63 : 18,253.35 = 9,257.76 : x
  2. Step 2: Convert to fraction form
    12,195.63/18,253.35 = 9,257.76/x
  3. Step 3: Cross multiply
    12,195.63x = 18,253.35 × 9,257.76
  4. Step 4: Simplify right side
    12,195.63x = 168,985,133.50
  5. Step 5: Solve for x
    x = 168,985,133.50/12,195.63
  6. Step 6: Final answer
    x = 13,856.20

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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.