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Finding the Fourth Proportional to 18,271.87, 27,408.02 and 6,426

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Solution

The fourth proportional to 18,271.87, 27,408.02 and 6,426 is: 9,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,271.87 : 27,408.02 = 6,426 : x
  2. Step 2: Convert to fraction form
    18,271.87/27,408.02 = 6,426/x
  3. Step 3: Cross multiply
    18,271.87x = 27,408.02 × 6,426
  4. Step 4: Simplify right side
    18,271.87x = 176,123,904.39
  5. Step 5: Solve for x
    x = 176,123,904.39/18,271.87
  6. Step 6: Final answer
    x = 9,639.08

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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.