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Finding the Fourth Proportional to 13,240.14, 18,271.52 and 7,271.93

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Solution

The fourth proportional to 13,240.14, 18,271.52 and 7,271.93 is: 10,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240.14 : 18,271.52 = 7,271.93 : x
  2. Step 2: Convert to fraction form
    13,240.14/18,271.52 = 7,271.93/x
  3. Step 3: Cross multiply
    13,240.14x = 18,271.52 × 7,271.93
  4. Step 4: Simplify right side
    13,240.14x = 132,869,251.02
  5. Step 5: Solve for x
    x = 132,869,251.02/13,240.14
  6. Step 6: Final answer
    x = 10,035.34

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