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Finding the Fourth Proportional to 16,681.72, 23,021.64 and 9,511.86

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Solution

The fourth proportional to 16,681.72, 23,021.64 and 9,511.86 is: 13,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681.72 : 23,021.64 = 9,511.86 : x
  2. Step 2: Convert to fraction form
    16,681.72/23,021.64 = 9,511.86/x
  3. Step 3: Cross multiply
    16,681.72x = 23,021.64 × 9,511.86
  4. Step 4: Simplify right side
    16,681.72x = 218,978,616.65
  5. Step 5: Solve for x
    x = 218,978,616.65/16,681.72
  6. Step 6: Final answer
    x = 13,126.86

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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.