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Finding the Fourth Proportional to 14,687.40, 22,031.10 and 11,771.40

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Solution

The fourth proportional to 14,687.40, 22,031.10 and 11,771.40 is: 17,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.40 : 22,031.10 = 11,771.40 : x
  2. Step 2: Convert to fraction form
    14,687.40/22,031.10 = 11,771.40/x
  3. Step 3: Cross multiply
    14,687.40x = 22,031.10 × 11,771.40
  4. Step 4: Simplify right side
    14,687.40x = 259,336,890.54
  5. Step 5: Solve for x
    x = 259,336,890.54/14,687.40
  6. Step 6: Final answer
    x = 17,657.10

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1.5x scale

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.