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Finding the Fourth Proportional to 14,535.84, 20,016 and 14,208.96

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Solution

The fourth proportional to 14,535.84, 20,016 and 14,208.96 is: 19,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,535.84 : 20,016 = 14,208.96 : x
  2. Step 2: Convert to fraction form
    14,535.84/20,016 = 14,208.96/x
  3. Step 3: Cross multiply
    14,535.84x = 20,016 × 14,208.96
  4. Step 4: Simplify right side
    14,535.84x = 284,406,543.36
  5. Step 5: Solve for x
    x = 284,406,543.36/14,535.84
  6. Step 6: Final answer
    x = 19,565.88

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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.