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Finding the Fourth Proportional to 21,565.44, 32,346.80 and 7,524.48

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Solution

The fourth proportional to 21,565.44, 32,346.80 and 7,524.48 is: 11,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.44 : 32,346.80 = 7,524.48 : x
  2. Step 2: Convert to fraction form
    21,565.44/32,346.80 = 7,524.48/x
  3. Step 3: Cross multiply
    21,565.44x = 32,346.80 × 7,524.48
  4. Step 4: Simplify right side
    21,565.44x = 243,392,849.66
  5. Step 5: Solve for x
    x = 243,392,849.66/21,565.44
  6. Step 6: Final answer
    x = 11,286.25

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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.