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Finding the Fourth Proportional to 16,178.99, 22,324.95 and 9,463.28

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Solution

The fourth proportional to 16,178.99, 22,324.95 and 9,463.28 is: 13,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.99 : 22,324.95 = 9,463.28 : x
  2. Step 2: Convert to fraction form
    16,178.99/22,324.95 = 9,463.28/x
  3. Step 3: Cross multiply
    16,178.99x = 22,324.95 × 9,463.28
  4. Step 4: Simplify right side
    16,178.99x = 211,267,141.21
  5. Step 5: Solve for x
    x = 211,267,141.21/16,178.99
  6. Step 6: Final answer
    x = 13,058.12

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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.