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Finding the Fourth Proportional to 12,866.10, 19,306.35 and 5,469.30

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Solution

The fourth proportional to 12,866.10, 19,306.35 and 5,469.30 is: 8,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.10 : 19,306.35 = 5,469.30 : x
  2. Step 2: Convert to fraction form
    12,866.10/19,306.35 = 5,469.30/x
  3. Step 3: Cross multiply
    12,866.10x = 19,306.35 × 5,469.30
  4. Step 4: Simplify right side
    12,866.10x = 105,592,220.06
  5. Step 5: Solve for x
    x = 105,592,220.06/12,866.10
  6. Step 6: Final answer
    x = 8,207.01

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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.