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Finding the Fourth Proportional to 13,510.50, 20,288.16 and 8,349.18

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Solution

The fourth proportional to 13,510.50, 20,288.16 and 8,349.18 is: 12,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.50 : 20,288.16 = 8,349.18 : x
  2. Step 2: Convert to fraction form
    13,510.50/20,288.16 = 8,349.18/x
  3. Step 3: Cross multiply
    13,510.50x = 20,288.16 × 8,349.18
  4. Step 4: Simplify right side
    13,510.50x = 169,389,499.71
  5. Step 5: Solve for x
    x = 169,389,499.71/13,510.50
  6. Step 6: Final answer
    x = 12,537.62

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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.