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Finding the Fourth Proportional to 23,442, 32,350.35 and 12,832.21

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Solution

The fourth proportional to 23,442, 32,350.35 and 12,832.21 is: 17,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442 : 32,350.35 = 12,832.21 : x
  2. Step 2: Convert to fraction form
    23,442/32,350.35 = 12,832.21/x
  3. Step 3: Cross multiply
    23,442x = 32,350.35 × 12,832.21
  4. Step 4: Simplify right side
    23,442x = 415,126,484.77
  5. Step 5: Solve for x
    x = 415,126,484.77/23,442
  6. Step 6: Final answer
    x = 17,708.66

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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.