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Finding the Fourth Proportional to 16,981, 23,433.96 and 9,529

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Solution

The fourth proportional to 16,981, 23,433.96 and 9,529 is: 13,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,981 : 23,433.96 = 9,529 : x
  2. Step 2: Convert to fraction form
    16,981/23,433.96 = 9,529/x
  3. Step 3: Cross multiply
    16,981x = 23,433.96 × 9,529
  4. Step 4: Simplify right side
    16,981x = 223,302,204.84
  5. Step 5: Solve for x
    x = 223,302,204.84/16,981
  6. Step 6: Final answer
    x = 13,150.12

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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.