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Finding the Fourth Proportional to 14,145.76, 19,524.65 and 8,180.88

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Solution

The fourth proportional to 14,145.76, 19,524.65 and 8,180.88 is: 11,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.76 : 19,524.65 = 8,180.88 : x
  2. Step 2: Convert to fraction form
    14,145.76/19,524.65 = 8,180.88/x
  3. Step 3: Cross multiply
    14,145.76x = 19,524.65 × 8,180.88
  4. Step 4: Simplify right side
    14,145.76x = 159,728,818.69
  5. Step 5: Solve for x
    x = 159,728,818.69/14,145.76
  6. Step 6: Final answer
    x = 11,291.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.