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Finding the Fourth Proportional to 18,271.40, 27,417.90 and 6,583.10

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Solution

The fourth proportional to 18,271.40, 27,417.90 and 6,583.10 is: 9,878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,271.40 : 27,417.90 = 6,583.10 : x
  2. Step 2: Convert to fraction form
    18,271.40/27,417.90 = 6,583.10/x
  3. Step 3: Cross multiply
    18,271.40x = 27,417.90 × 6,583.10
  4. Step 4: Simplify right side
    18,271.40x = 180,494,777.49
  5. Step 5: Solve for x
    x = 180,494,777.49/18,271.40
  6. Step 6: Final answer
    x = 9,878.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.