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Finding the Fourth Proportional to 13,049.64, 18,009.40 and 7,384.38

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Solution

The fourth proportional to 13,049.64, 18,009.40 and 7,384.38 is: 10,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.64 : 18,009.40 = 7,384.38 : x
  2. Step 2: Convert to fraction form
    13,049.64/18,009.40 = 7,384.38/x
  3. Step 3: Cross multiply
    13,049.64x = 18,009.40 × 7,384.38
  4. Step 4: Simplify right side
    13,049.64x = 132,988,253.17
  5. Step 5: Solve for x
    x = 132,988,253.17/13,049.64
  6. Step 6: Final answer
    x = 10,190.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.