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Finding the Fourth Proportional to 13,113.69, 19,660.20 and 6,536.49

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Solution

The fourth proportional to 13,113.69, 19,660.20 and 6,536.49 is: 9,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.69 : 19,660.20 = 6,536.49 : x
  2. Step 2: Convert to fraction form
    13,113.69/19,660.20 = 6,536.49/x
  3. Step 3: Cross multiply
    13,113.69x = 19,660.20 × 6,536.49
  4. Step 4: Simplify right side
    13,113.69x = 128,508,700.70
  5. Step 5: Solve for x
    x = 128,508,700.70/13,113.69
  6. Step 6: Final answer
    x = 9,799.58

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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.