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Finding the Fourth Proportional to 16,230.56, 22,398.32 and 9,157.14

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Solution

The fourth proportional to 16,230.56, 22,398.32 and 9,157.14 is: 12,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.56 : 22,398.32 = 9,157.14 : x
  2. Step 2: Convert to fraction form
    16,230.56/22,398.32 = 9,157.14/x
  3. Step 3: Cross multiply
    16,230.56x = 22,398.32 × 9,157.14
  4. Step 4: Simplify right side
    16,230.56x = 205,104,506.22
  5. Step 5: Solve for x
    x = 205,104,506.22/16,230.56
  6. Step 6: Final answer
    x = 12,636.94

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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.