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Finding the Fourth Proportional to 22,808.75, 31,476.08 and 12,872.75

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Solution

The fourth proportional to 22,808.75, 31,476.08 and 12,872.75 is: 17,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,808.75 : 31,476.08 = 12,872.75 : x
  2. Step 2: Convert to fraction form
    22,808.75/31,476.08 = 12,872.75/x
  3. Step 3: Cross multiply
    22,808.75x = 31,476.08 × 12,872.75
  4. Step 4: Simplify right side
    22,808.75x = 405,183,708.82
  5. Step 5: Solve for x
    x = 405,183,708.82/22,808.75
  6. Step 6: Final answer
    x = 17,764.40

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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.