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Finding the Fourth Proportional to 17,705.68, 24,418.02 and 12,591.13

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Solution

The fourth proportional to 17,705.68, 24,418.02 and 12,591.13 is: 17,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.68 : 24,418.02 = 12,591.13 : x
  2. Step 2: Convert to fraction form
    17,705.68/24,418.02 = 12,591.13/x
  3. Step 3: Cross multiply
    17,705.68x = 24,418.02 × 12,591.13
  4. Step 4: Simplify right side
    17,705.68x = 307,450,464.16
  5. Step 5: Solve for x
    x = 307,450,464.16/17,705.68
  6. Step 6: Final answer
    x = 17,364.51

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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.