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Finding the Fourth Proportional to 12,902.28, 19,347.12 and 5,502.66

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Solution

The fourth proportional to 12,902.28, 19,347.12 and 5,502.66 is: 8,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.28 : 19,347.12 = 5,502.66 : x
  2. Step 2: Convert to fraction form
    12,902.28/19,347.12 = 5,502.66/x
  3. Step 3: Cross multiply
    12,902.28x = 19,347.12 × 5,502.66
  4. Step 4: Simplify right side
    12,902.28x = 106,460,623.34
  5. Step 5: Solve for x
    x = 106,460,623.34/12,902.28
  6. Step 6: Final answer
    x = 8,251.30

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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.