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Finding the Fourth Proportional to 23,805.36, 32,830.92 and 14,843.52

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Solution

The fourth proportional to 23,805.36, 32,830.92 and 14,843.52 is: 20,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.36 : 32,830.92 = 14,843.52 : x
  2. Step 2: Convert to fraction form
    23,805.36/32,830.92 = 14,843.52/x
  3. Step 3: Cross multiply
    23,805.36x = 32,830.92 × 14,843.52
  4. Step 4: Simplify right side
    23,805.36x = 487,326,417.64
  5. Step 5: Solve for x
    x = 487,326,417.64/23,805.36
  6. Step 6: Final answer
    x = 20,471.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.