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Finding the Fourth Proportional to 16,284.72, 22,473.77 and 9,114.20

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Solution

The fourth proportional to 16,284.72, 22,473.77 and 9,114.20 is: 12,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.72 : 22,473.77 = 9,114.20 : x
  2. Step 2: Convert to fraction form
    16,284.72/22,473.77 = 9,114.20/x
  3. Step 3: Cross multiply
    16,284.72x = 22,473.77 × 9,114.20
  4. Step 4: Simplify right side
    16,284.72x = 204,830,434.53
  5. Step 5: Solve for x
    x = 204,830,434.53/16,284.72
  6. Step 6: Final answer
    x = 12,578.08

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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.