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Finding the Fourth Proportional to 19,208.25, 28,823.72 and 8,114.22

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Solution

The fourth proportional to 19,208.25, 28,823.72 and 8,114.22 is: 12,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,208.25 : 28,823.72 = 8,114.22 : x
  2. Step 2: Convert to fraction form
    19,208.25/28,823.72 = 8,114.22/x
  3. Step 3: Cross multiply
    19,208.25x = 28,823.72 × 8,114.22
  4. Step 4: Simplify right side
    19,208.25x = 233,881,964.73
  5. Step 5: Solve for x
    x = 233,881,964.73/19,208.25
  6. Step 6: Final answer
    x = 12,176.12

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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.