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Finding the Fourth Proportional to 16,467.06, 22,724.39 and 8,913.24

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Solution

The fourth proportional to 16,467.06, 22,724.39 and 8,913.24 is: 12,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467.06 : 22,724.39 = 8,913.24 : x
  2. Step 2: Convert to fraction form
    16,467.06/22,724.39 = 8,913.24/x
  3. Step 3: Cross multiply
    16,467.06x = 22,724.39 × 8,913.24
  4. Step 4: Simplify right side
    16,467.06x = 202,547,897.36
  5. Step 5: Solve for x
    x = 202,547,897.36/16,467.06
  6. Step 6: Final answer
    x = 12,300.19

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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.