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Finding the Fourth Proportional to 16,362.52, 22,579.50 and 9,288

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Solution

The fourth proportional to 16,362.52, 22,579.50 and 9,288 is: 12,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362.52 : 22,579.50 = 9,288 : x
  2. Step 2: Convert to fraction form
    16,362.52/22,579.50 = 9,288/x
  3. Step 3: Cross multiply
    16,362.52x = 22,579.50 × 9,288
  4. Step 4: Simplify right side
    16,362.52x = 209,718,396
  5. Step 5: Solve for x
    x = 209,718,396/16,362.52
  6. Step 6: Final answer
    x = 12,817.00

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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.