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Finding the Fourth Proportional to 16,287.21, 22,473.42 and 9,574.19

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Solution

The fourth proportional to 16,287.21, 22,473.42 and 9,574.19 is: 13,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.21 : 22,473.42 = 9,574.19 : x
  2. Step 2: Convert to fraction form
    16,287.21/22,473.42 = 9,574.19/x
  3. Step 3: Cross multiply
    16,287.21x = 22,473.42 × 9,574.19
  4. Step 4: Simplify right side
    16,287.21x = 215,164,793.03
  5. Step 5: Solve for x
    x = 215,164,793.03/16,287.21
  6. Step 6: Final answer
    x = 13,210.66

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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.