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Finding the Fourth Proportional to 16,711.86, 23,056.71 and 9,638.10

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Solution

The fourth proportional to 16,711.86, 23,056.71 and 9,638.10 is: 13,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711.86 : 23,056.71 = 9,638.10 : x
  2. Step 2: Convert to fraction form
    16,711.86/23,056.71 = 9,638.10/x
  3. Step 3: Cross multiply
    16,711.86x = 23,056.71 × 9,638.10
  4. Step 4: Simplify right side
    16,711.86x = 222,222,876.65
  5. Step 5: Solve for x
    x = 222,222,876.65/16,711.86
  6. Step 6: Final answer
    x = 13,297.32

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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.