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Finding the Fourth Proportional to 16,578.16, 22,877.16 and 9,499.64

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Solution

The fourth proportional to 16,578.16, 22,877.16 and 9,499.64 is: 13,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.16 : 22,877.16 = 9,499.64 : x
  2. Step 2: Convert to fraction form
    16,578.16/22,877.16 = 9,499.64/x
  3. Step 3: Cross multiply
    16,578.16x = 22,877.16 × 9,499.64
  4. Step 4: Simplify right side
    16,578.16x = 217,324,784.22
  5. Step 5: Solve for x
    x = 217,324,784.22/16,578.16
  6. Step 6: Final answer
    x = 13,109.10

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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.