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Finding the Fourth Proportional to 23,115, 31,882.38 and 14,166.82

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Solution

The fourth proportional to 23,115, 31,882.38 and 14,166.82 is: 19,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115 : 31,882.38 = 14,166.82 : x
  2. Step 2: Convert to fraction form
    23,115/31,882.38 = 14,166.82/x
  3. Step 3: Cross multiply
    23,115x = 31,882.38 × 14,166.82
  4. Step 4: Simplify right side
    23,115x = 451,671,938.63
  5. Step 5: Solve for x
    x = 451,671,938.63/23,115
  6. Step 6: Final answer
    x = 19,540.21

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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.