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Finding the Fourth Proportional to 23,846, 32,907.48 and 15,462.56

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Solution

The fourth proportional to 23,846, 32,907.48 and 15,462.56 is: 21,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846 : 32,907.48 = 15,462.56 : x
  2. Step 2: Convert to fraction form
    23,846/32,907.48 = 15,462.56/x
  3. Step 3: Cross multiply
    23,846x = 32,907.48 × 15,462.56
  4. Step 4: Simplify right side
    23,846x = 508,833,883.95
  5. Step 5: Solve for x
    x = 508,833,883.95/23,846
  6. Step 6: Final answer
    x = 21,338.33

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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.