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Finding the Fourth Proportional to 21,392.64, 32,069.52 and 9,699.48

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Solution

The fourth proportional to 21,392.64, 32,069.52 and 9,699.48 is: 14,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,392.64 : 32,069.52 = 9,699.48 : x
  2. Step 2: Convert to fraction form
    21,392.64/32,069.52 = 9,699.48/x
  3. Step 3: Cross multiply
    21,392.64x = 32,069.52 × 9,699.48
  4. Step 4: Simplify right side
    21,392.64x = 311,057,667.85
  5. Step 5: Solve for x
    x = 311,057,667.85/21,392.64
  6. Step 6: Final answer
    x = 14,540.41

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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.