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Finding the Fourth Proportional to 16,303.16, 22,498.18 and 9,229.52

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Solution

The fourth proportional to 16,303.16, 22,498.18 and 9,229.52 is: 12,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.16 : 22,498.18 = 9,229.52 : x
  2. Step 2: Convert to fraction form
    16,303.16/22,498.18 = 9,229.52/x
  3. Step 3: Cross multiply
    16,303.16x = 22,498.18 × 9,229.52
  4. Step 4: Simplify right side
    16,303.16x = 207,647,402.27
  5. Step 5: Solve for x
    x = 207,647,402.27/16,303.16
  6. Step 6: Final answer
    x = 12,736.64

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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.