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Finding the Fourth Proportional to 23,653.98, 32,642.10 and 13,044.33

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Solution

The fourth proportional to 23,653.98, 32,642.10 and 13,044.33 is: 18,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.98 : 32,642.10 = 13,044.33 : x
  2. Step 2: Convert to fraction form
    23,653.98/32,642.10 = 13,044.33/x
  3. Step 3: Cross multiply
    23,653.98x = 32,642.10 × 13,044.33
  4. Step 4: Simplify right side
    23,653.98x = 425,794,324.29
  5. Step 5: Solve for x
    x = 425,794,324.29/23,653.98
  6. Step 6: Final answer
    x = 18,000.96

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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.