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Finding the Fourth Proportional to 16,678.71, 23,014.80 and 9,508.86

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Solution

The fourth proportional to 16,678.71, 23,014.80 and 9,508.86 is: 13,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.71 : 23,014.80 = 9,508.86 : x
  2. Step 2: Convert to fraction form
    16,678.71/23,014.80 = 9,508.86/x
  3. Step 3: Cross multiply
    16,678.71x = 23,014.80 × 9,508.86
  4. Step 4: Simplify right side
    16,678.71x = 218,844,511.13
  5. Step 5: Solve for x
    x = 218,844,511.13/16,678.71
  6. Step 6: Final answer
    x = 13,121.19

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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.