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Finding the Fourth Proportional to 12,823.90, 19,253.53 and 8,865.43

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Solution

The fourth proportional to 12,823.90, 19,253.53 and 8,865.43 is: 13,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.90 : 19,253.53 = 8,865.43 : x
  2. Step 2: Convert to fraction form
    12,823.90/19,253.53 = 8,865.43/x
  3. Step 3: Cross multiply
    12,823.90x = 19,253.53 × 8,865.43
  4. Step 4: Simplify right side
    12,823.90x = 170,690,681.87
  5. Step 5: Solve for x
    x = 170,690,681.87/12,823.90
  6. Step 6: Final answer
    x = 13,310.36

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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.