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Finding the Fourth Proportional to 21,342.80, 32,014.28 and 9,642.32

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Solution

The fourth proportional to 21,342.80, 32,014.28 and 9,642.32 is: 14,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342.80 : 32,014.28 = 9,642.32 : x
  2. Step 2: Convert to fraction form
    21,342.80/32,014.28 = 9,642.32/x
  3. Step 3: Cross multiply
    21,342.80x = 32,014.28 × 9,642.32
  4. Step 4: Simplify right side
    21,342.80x = 308,691,932.33
  5. Step 5: Solve for x
    x = 308,691,932.33/21,342.80
  6. Step 6: Final answer
    x = 14,463.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.