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Finding the Fourth Proportional to 16,800.02, 23,184 and 9,246.32

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Solution

The fourth proportional to 16,800.02, 23,184 and 9,246.32 is: 12,759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,800.02 : 23,184 = 9,246.32 : x
  2. Step 2: Convert to fraction form
    16,800.02/23,184 = 9,246.32/x
  3. Step 3: Cross multiply
    16,800.02x = 23,184 × 9,246.32
  4. Step 4: Simplify right side
    16,800.02x = 214,366,682.88
  5. Step 5: Solve for x
    x = 214,366,682.88/16,800.02
  6. Step 6: Final answer
    x = 12,759.91

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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.