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Finding the Fourth Proportional to 11,623.78, 16,022.64 and 9,508.06

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Solution

The fourth proportional to 11,623.78, 16,022.64 and 9,508.06 is: 13,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.78 : 16,022.64 = 9,508.06 : x
  2. Step 2: Convert to fraction form
    11,623.78/16,022.64 = 9,508.06/x
  3. Step 3: Cross multiply
    11,623.78x = 16,022.64 × 9,508.06
  4. Step 4: Simplify right side
    11,623.78x = 152,344,222.48
  5. Step 5: Solve for x
    x = 152,344,222.48/11,623.78
  6. Step 6: Final answer
    x = 13,106.25

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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.