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Finding the Fourth Proportional to 16,492.71, 22,724.30 and 11,178.30

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Solution

The fourth proportional to 16,492.71, 22,724.30 and 11,178.30 is: 15,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.71 : 22,724.30 = 11,178.30 : x
  2. Step 2: Convert to fraction form
    16,492.71/22,724.30 = 11,178.30/x
  3. Step 3: Cross multiply
    16,492.71x = 22,724.30 × 11,178.30
  4. Step 4: Simplify right side
    16,492.71x = 254,019,092.97
  5. Step 5: Solve for x
    x = 254,019,092.97/16,492.71
  6. Step 6: Final answer
    x = 15,401.90

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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.