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Finding the Fourth Proportional to 13,010.90, 19,509.03 and 8,856.50

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Solution

The fourth proportional to 13,010.90, 19,509.03 and 8,856.50 is: 13,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.90 : 19,509.03 = 8,856.50 : x
  2. Step 2: Convert to fraction form
    13,010.90/19,509.03 = 8,856.50/x
  3. Step 3: Cross multiply
    13,010.90x = 19,509.03 × 8,856.50
  4. Step 4: Simplify right side
    13,010.90x = 172,781,626.65
  5. Step 5: Solve for x
    x = 172,781,626.65/13,010.90
  6. Step 6: Final answer
    x = 13,279.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.