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Finding the Fourth Proportional to 20,871.68, 31,271.04 and 17,384.09

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Solution

The fourth proportional to 20,871.68, 31,271.04 and 17,384.09 is: 26,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.68 : 31,271.04 = 17,384.09 : x
  2. Step 2: Convert to fraction form
    20,871.68/31,271.04 = 17,384.09/x
  3. Step 3: Cross multiply
    20,871.68x = 31,271.04 × 17,384.09
  4. Step 4: Simplify right side
    20,871.68x = 543,618,417.40
  5. Step 5: Solve for x
    x = 543,618,417.40/20,871.68
  6. Step 6: Final answer
    x = 26,045.75

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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.