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Finding the Fourth Proportional to 16,369.66, 22,590.29 and 9,296.23

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Solution

The fourth proportional to 16,369.66, 22,590.29 and 9,296.23 is: 12,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.66 : 22,590.29 = 9,296.23 : x
  2. Step 2: Convert to fraction form
    16,369.66/22,590.29 = 9,296.23/x
  3. Step 3: Cross multiply
    16,369.66x = 22,590.29 × 9,296.23
  4. Step 4: Simplify right side
    16,369.66x = 210,004,485.13
  5. Step 5: Solve for x
    x = 210,004,485.13/16,369.66
  6. Step 6: Final answer
    x = 12,828.88

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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.