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Finding the Fourth Proportional to 19,114.75, 28,616.50 and 14,206.15

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Solution

The fourth proportional to 19,114.75, 28,616.50 and 14,206.15 is: 21,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114.75 : 28,616.50 = 14,206.15 : x
  2. Step 2: Convert to fraction form
    19,114.75/28,616.50 = 14,206.15/x
  3. Step 3: Cross multiply
    19,114.75x = 28,616.50 × 14,206.15
  4. Step 4: Simplify right side
    19,114.75x = 406,530,291.48
  5. Step 5: Solve for x
    x = 406,530,291.48/19,114.75
  6. Step 6: Final answer
    x = 21,267.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.