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Finding the Fourth Proportional to 21,564.94, 32,336.52 and 6,569.20

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Solution

The fourth proportional to 21,564.94, 32,336.52 and 6,569.20 is: 9,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.94 : 32,336.52 = 6,569.20 : x
  2. Step 2: Convert to fraction form
    21,564.94/32,336.52 = 6,569.20/x
  3. Step 3: Cross multiply
    21,564.94x = 32,336.52 × 6,569.20
  4. Step 4: Simplify right side
    21,564.94x = 212,425,067.18
  5. Step 5: Solve for x
    x = 212,425,067.18/21,564.94
  6. Step 6: Final answer
    x = 9,850.48

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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.