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Finding the Fourth Proportional to 14,407.50, 19,882.35 and 8,119.88

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Solution

The fourth proportional to 14,407.50, 19,882.35 and 8,119.88 is: 11,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.50 : 19,882.35 = 8,119.88 : x
  2. Step 2: Convert to fraction form
    14,407.50/19,882.35 = 8,119.88/x
  3. Step 3: Cross multiply
    14,407.50x = 19,882.35 × 8,119.88
  4. Step 4: Simplify right side
    14,407.50x = 161,442,196.71
  5. Step 5: Solve for x
    x = 161,442,196.71/14,407.50
  6. Step 6: Final answer
    x = 11,205.43

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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.