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Finding the Fourth Proportional to 13,433.65, 20,132.02 and 6,845.99

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Solution

The fourth proportional to 13,433.65, 20,132.02 and 6,845.99 is: 10,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.65 : 20,132.02 = 6,845.99 : x
  2. Step 2: Convert to fraction form
    13,433.65/20,132.02 = 6,845.99/x
  3. Step 3: Cross multiply
    13,433.65x = 20,132.02 × 6,845.99
  4. Step 4: Simplify right side
    13,433.65x = 137,823,666.11
  5. Step 5: Solve for x
    x = 137,823,666.11/13,433.65
  6. Step 6: Final answer
    x = 10,259.59

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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.