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Finding the Fourth Proportional to 12,902.49, 19,353.71 and 8,518.91

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Solution

The fourth proportional to 12,902.49, 19,353.71 and 8,518.91 is: 12,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.49 : 19,353.71 = 8,518.91 : x
  2. Step 2: Convert to fraction form
    12,902.49/19,353.71 = 8,518.91/x
  3. Step 3: Cross multiply
    12,902.49x = 19,353.71 × 8,518.91
  4. Step 4: Simplify right side
    12,902.49x = 164,872,438.18
  5. Step 5: Solve for x
    x = 164,872,438.18/12,902.49
  6. Step 6: Final answer
    x = 12,778.34

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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.