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Finding the Fourth Proportional to 12,264.31, 18,401.88 and 9,514.87

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Solution

The fourth proportional to 12,264.31, 18,401.88 and 9,514.87 is: 14,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.31 : 18,401.88 = 9,514.87 : x
  2. Step 2: Convert to fraction form
    12,264.31/18,401.88 = 9,514.87/x
  3. Step 3: Cross multiply
    12,264.31x = 18,401.88 × 9,514.87
  4. Step 4: Simplify right side
    12,264.31x = 175,091,485.63
  5. Step 5: Solve for x
    x = 175,091,485.63/12,264.31
  6. Step 6: Final answer
    x = 14,276.50

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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.