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Finding the Fourth Proportional to 13,386.99, 20,062.02 and 9,659.52

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Solution

The fourth proportional to 13,386.99, 20,062.02 and 9,659.52 is: 14,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.99 : 20,062.02 = 9,659.52 : x
  2. Step 2: Convert to fraction form
    13,386.99/20,062.02 = 9,659.52/x
  3. Step 3: Cross multiply
    13,386.99x = 20,062.02 × 9,659.52
  4. Step 4: Simplify right side
    13,386.99x = 193,789,483.43
  5. Step 5: Solve for x
    x = 193,789,483.43/13,386.99
  6. Step 6: Final answer
    x = 14,475.96

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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.