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Finding the Fourth Proportional to 29,697.71, 40,983.02 and 16,269.08

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Solution

The fourth proportional to 29,697.71, 40,983.02 and 16,269.08 is: 22,451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.71 : 40,983.02 = 16,269.08 : x
  2. Step 2: Convert to fraction form
    29,697.71/40,983.02 = 16,269.08/x
  3. Step 3: Cross multiply
    29,697.71x = 40,983.02 × 16,269.08
  4. Step 4: Simplify right side
    29,697.71x = 666,755,744.76
  5. Step 5: Solve for x
    x = 666,755,744.76/29,697.71
  6. Step 6: Final answer
    x = 22,451.42

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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.