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Finding the Fourth Proportional to 21,684.92, 32,528.96 and 9,203.52

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Solution

The fourth proportional to 21,684.92, 32,528.96 and 9,203.52 is: 13,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.92 : 32,528.96 = 9,203.52 : x
  2. Step 2: Convert to fraction form
    21,684.92/32,528.96 = 9,203.52/x
  3. Step 3: Cross multiply
    21,684.92x = 32,528.96 × 9,203.52
  4. Step 4: Simplify right side
    21,684.92x = 299,380,887.92
  5. Step 5: Solve for x
    x = 299,380,887.92/21,684.92
  6. Step 6: Final answer
    x = 13,805.95

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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.