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Finding the Fourth Proportional to 16,309.90, 22,508.19 and 9,236.17

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Solution

The fourth proportional to 16,309.90, 22,508.19 and 9,236.17 is: 12,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.90 : 22,508.19 = 9,236.17 : x
  2. Step 2: Convert to fraction form
    16,309.90/22,508.19 = 9,236.17/x
  3. Step 3: Cross multiply
    16,309.90x = 22,508.19 × 9,236.17
  4. Step 4: Simplify right side
    16,309.90x = 207,889,310.51
  5. Step 5: Solve for x
    x = 207,889,310.51/16,309.90
  6. Step 6: Final answer
    x = 12,746.21

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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.