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Finding the Fourth Proportional to 16,362, 22,579.61 and 9,289.53

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Solution

The fourth proportional to 16,362, 22,579.61 and 9,289.53 is: 12,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362 : 22,579.61 = 9,289.53 : x
  2. Step 2: Convert to fraction form
    16,362/22,579.61 = 9,289.53/x
  3. Step 3: Cross multiply
    16,362x = 22,579.61 × 9,289.53
  4. Step 4: Simplify right side
    16,362x = 209,753,918.04
  5. Step 5: Solve for x
    x = 209,753,918.04/16,362
  6. Step 6: Final answer
    x = 12,819.58

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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.