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Finding the Fourth Proportional to 14,497.75, 19,856.98 and 13,646.64

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Solution

The fourth proportional to 14,497.75, 19,856.98 and 13,646.64 is: 18,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.75 : 19,856.98 = 13,646.64 : x
  2. Step 2: Convert to fraction form
    14,497.75/19,856.98 = 13,646.64/x
  3. Step 3: Cross multiply
    14,497.75x = 19,856.98 × 13,646.64
  4. Step 4: Simplify right side
    14,497.75x = 270,981,057.55
  5. Step 5: Solve for x
    x = 270,981,057.55/14,497.75
  6. Step 6: Final answer
    x = 18,691.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.