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Finding the Fourth Proportional to 23,458, 32,372.16 and 17,494.96

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Solution

The fourth proportional to 23,458, 32,372.16 and 17,494.96 is: 24,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458 : 32,372.16 = 17,494.96 : x
  2. Step 2: Convert to fraction form
    23,458/32,372.16 = 17,494.96/x
  3. Step 3: Cross multiply
    23,458x = 32,372.16 × 17,494.96
  4. Step 4: Simplify right side
    23,458x = 566,349,644.31
  5. Step 5: Solve for x
    x = 566,349,644.31/23,458
  6. Step 6: Final answer
    x = 24,143.13

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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.