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Finding the Fourth Proportional to 13,139.94, 18,133.19 and 7,171.75

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Solution

The fourth proportional to 13,139.94, 18,133.19 and 7,171.75 is: 9,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.94 : 18,133.19 = 7,171.75 : x
  2. Step 2: Convert to fraction form
    13,139.94/18,133.19 = 7,171.75/x
  3. Step 3: Cross multiply
    13,139.94x = 18,133.19 × 7,171.75
  4. Step 4: Simplify right side
    13,139.94x = 130,046,705.38
  5. Step 5: Solve for x
    x = 130,046,705.38/13,139.94
  6. Step 6: Final answer
    x = 9,897.05

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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.