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Finding the Fourth Proportional to 16,424.02, 22,665.14 and 8,972.02

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Solution

The fourth proportional to 16,424.02, 22,665.14 and 8,972.02 is: 12,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.02 : 22,665.14 = 8,972.02 : x
  2. Step 2: Convert to fraction form
    16,424.02/22,665.14 = 8,972.02/x
  3. Step 3: Cross multiply
    16,424.02x = 22,665.14 × 8,972.02
  4. Step 4: Simplify right side
    16,424.02x = 203,352,004.24
  5. Step 5: Solve for x
    x = 203,352,004.24/16,424.02
  6. Step 6: Final answer
    x = 12,381.38

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1.5x scale

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.