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Finding the Fourth Proportional to 16,648.73, 22,976.31 and 9,575

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Solution

The fourth proportional to 16,648.73, 22,976.31 and 9,575 is: 13,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.73 : 22,976.31 = 9,575 : x
  2. Step 2: Convert to fraction form
    16,648.73/22,976.31 = 9,575/x
  3. Step 3: Cross multiply
    16,648.73x = 22,976.31 × 9,575
  4. Step 4: Simplify right side
    16,648.73x = 219,998,168.25
  5. Step 5: Solve for x
    x = 219,998,168.25/16,648.73
  6. Step 6: Final answer
    x = 13,214.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.