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Finding the Fourth Proportional to 19,207.68, 28,815.42 and 8,114.40

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Solution

The fourth proportional to 19,207.68, 28,815.42 and 8,114.40 is: 12,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,207.68 : 28,815.42 = 8,114.40 : x
  2. Step 2: Convert to fraction form
    19,207.68/28,815.42 = 8,114.40/x
  3. Step 3: Cross multiply
    19,207.68x = 28,815.42 × 8,114.40
  4. Step 4: Simplify right side
    19,207.68x = 233,819,844.05
  5. Step 5: Solve for x
    x = 233,819,844.05/19,207.68
  6. Step 6: Final answer
    x = 12,173.25

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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.