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Finding the Fourth Proportional to 29,697.84, 40,983.10 and 16,269.66

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Solution

The fourth proportional to 29,697.84, 40,983.10 and 16,269.66 is: 22,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.84 : 40,983.10 = 16,269.66 : x
  2. Step 2: Convert to fraction form
    29,697.84/40,983.10 = 16,269.66/x
  3. Step 3: Cross multiply
    29,697.84x = 40,983.10 × 16,269.66
  4. Step 4: Simplify right side
    29,697.84x = 666,781,062.07
  5. Step 5: Solve for x
    x = 666,781,062.07/29,697.84
  6. Step 6: Final answer
    x = 22,452.17

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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.