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Finding the Fourth Proportional to 23,226.50, 32,053.16 and 12,616.13

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Solution

The fourth proportional to 23,226.50, 32,053.16 and 12,616.13 is: 17,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.50 : 32,053.16 = 12,616.13 : x
  2. Step 2: Convert to fraction form
    23,226.50/32,053.16 = 12,616.13/x
  3. Step 3: Cross multiply
    23,226.50x = 32,053.16 × 12,616.13
  4. Step 4: Simplify right side
    23,226.50x = 404,386,833.47
  5. Step 5: Solve for x
    x = 404,386,833.47/23,226.50
  6. Step 6: Final answer
    x = 17,410.58

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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.