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Finding the Fourth Proportional to 14,396.52, 19,863.68 and 8,109.02

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Solution

The fourth proportional to 14,396.52, 19,863.68 and 8,109.02 is: 11,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.52 : 19,863.68 = 8,109.02 : x
  2. Step 2: Convert to fraction form
    14,396.52/19,863.68 = 8,109.02/x
  3. Step 3: Cross multiply
    14,396.52x = 19,863.68 × 8,109.02
  4. Step 4: Simplify right side
    14,396.52x = 161,074,978.39
  5. Step 5: Solve for x
    x = 161,074,978.39/14,396.52
  6. Step 6: Final answer
    x = 11,188.47

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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.