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Finding the Fourth Proportional to 16,066.84, 24,082.96 and 6,203.20

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Solution

The fourth proportional to 16,066.84, 24,082.96 and 6,203.20 is: 9,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,066.84 : 24,082.96 = 6,203.20 : x
  2. Step 2: Convert to fraction form
    16,066.84/24,082.96 = 6,203.20/x
  3. Step 3: Cross multiply
    16,066.84x = 24,082.96 × 6,203.20
  4. Step 4: Simplify right side
    16,066.84x = 149,391,417.47
  5. Step 5: Solve for x
    x = 149,391,417.47/16,066.84
  6. Step 6: Final answer
    x = 9,298.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.