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Finding the Fourth Proportional to 14,396.68, 19,867.12 and 8,023.26

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Solution

The fourth proportional to 14,396.68, 19,867.12 and 8,023.26 is: 11,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.68 : 19,867.12 = 8,023.26 : x
  2. Step 2: Convert to fraction form
    14,396.68/19,867.12 = 8,023.26/x
  3. Step 3: Cross multiply
    14,396.68x = 19,867.12 × 8,023.26
  4. Step 4: Simplify right side
    14,396.68x = 159,399,049.15
  5. Step 5: Solve for x
    x = 159,399,049.15/14,396.68
  6. Step 6: Final answer
    x = 11,071.93

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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.