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Finding the Fourth Proportional to 16,078.86, 22,186.80 and 9,004.14

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Solution

The fourth proportional to 16,078.86, 22,186.80 and 9,004.14 is: 12,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.86 : 22,186.80 = 9,004.14 : x
  2. Step 2: Convert to fraction form
    16,078.86/22,186.80 = 9,004.14/x
  3. Step 3: Cross multiply
    16,078.86x = 22,186.80 × 9,004.14
  4. Step 4: Simplify right side
    16,078.86x = 199,773,053.35
  5. Step 5: Solve for x
    x = 199,773,053.35/16,078.86
  6. Step 6: Final answer
    x = 12,424.58

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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.