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Finding the Fourth Proportional to 16,900.61, 23,317.13 and 9,821.21

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Solution

The fourth proportional to 16,900.61, 23,317.13 and 9,821.21 is: 13,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.61 : 23,317.13 = 9,821.21 : x
  2. Step 2: Convert to fraction form
    16,900.61/23,317.13 = 9,821.21/x
  3. Step 3: Cross multiply
    16,900.61x = 23,317.13 × 9,821.21
  4. Step 4: Simplify right side
    16,900.61x = 229,002,338.29
  5. Step 5: Solve for x
    x = 229,002,338.29/16,900.61
  6. Step 6: Final answer
    x = 13,549.95

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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.