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Finding the Fourth Proportional to 16,155.66, 22,294.71 and 9,082.14

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Solution

The fourth proportional to 16,155.66, 22,294.71 and 9,082.14 is: 12,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,155.66 : 22,294.71 = 9,082.14 : x
  2. Step 2: Convert to fraction form
    16,155.66/22,294.71 = 9,082.14/x
  3. Step 3: Cross multiply
    16,155.66x = 22,294.71 × 9,082.14
  4. Step 4: Simplify right side
    16,155.66x = 202,483,677.48
  5. Step 5: Solve for x
    x = 202,483,677.48/16,155.66
  6. Step 6: Final answer
    x = 12,533.30

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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.