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Finding the Fourth Proportional to 16,800.13, 23,184.19 and 9,246.46

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Solution

The fourth proportional to 16,800.13, 23,184.19 and 9,246.46 is: 12,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,800.13 : 23,184.19 = 9,246.46 : x
  2. Step 2: Convert to fraction form
    16,800.13/23,184.19 = 9,246.46/x
  3. Step 3: Cross multiply
    16,800.13x = 23,184.19 × 9,246.46
  4. Step 4: Simplify right side
    16,800.13x = 214,371,685.47
  5. Step 5: Solve for x
    x = 214,371,685.47/16,800.13
  6. Step 6: Final answer
    x = 12,760.12

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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.