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Finding the Fourth Proportional to 12,902.30, 19,353.44 and 8,518.71

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Solution

The fourth proportional to 12,902.30, 19,353.44 and 8,518.71 is: 12,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.30 : 19,353.44 = 8,518.71 : x
  2. Step 2: Convert to fraction form
    12,902.30/19,353.44 = 8,518.71/x
  3. Step 3: Cross multiply
    12,902.30x = 19,353.44 × 8,518.71
  4. Step 4: Simplify right side
    12,902.30x = 164,866,300.27
  5. Step 5: Solve for x
    x = 164,866,300.27/12,902.30
  6. Step 6: Final answer
    x = 12,778.06

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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.