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Finding the Fourth Proportional to 16,593.36, 22,900.50 and 9,522

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Solution

The fourth proportional to 16,593.36, 22,900.50 and 9,522 is: 13,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,593.36 : 22,900.50 = 9,522 : x
  2. Step 2: Convert to fraction form
    16,593.36/22,900.50 = 9,522/x
  3. Step 3: Cross multiply
    16,593.36x = 22,900.50 × 9,522
  4. Step 4: Simplify right side
    16,593.36x = 218,058,561
  5. Step 5: Solve for x
    x = 218,058,561/16,593.36
  6. Step 6: Final answer
    x = 13,141.31

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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.