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Finding the Fourth Proportional to 16,287.05, 22,477.50 and 9,214.83

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Solution

The fourth proportional to 16,287.05, 22,477.50 and 9,214.83 is: 12,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.05 : 22,477.50 = 9,214.83 : x
  2. Step 2: Convert to fraction form
    16,287.05/22,477.50 = 9,214.83/x
  3. Step 3: Cross multiply
    16,287.05x = 22,477.50 × 9,214.83
  4. Step 4: Simplify right side
    16,287.05x = 207,126,341.33
  5. Step 5: Solve for x
    x = 207,126,341.33/16,287.05
  6. Step 6: Final answer
    x = 12,717.24

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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.