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Finding the Fourth Proportional to 12,129.12, 16,737.36 and 6,823.20

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Solution

The fourth proportional to 12,129.12, 16,737.36 and 6,823.20 is: 9,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.12 : 16,737.36 = 6,823.20 : x
  2. Step 2: Convert to fraction form
    12,129.12/16,737.36 = 6,823.20/x
  3. Step 3: Cross multiply
    12,129.12x = 16,737.36 × 6,823.20
  4. Step 4: Simplify right side
    12,129.12x = 114,202,354.75
  5. Step 5: Solve for x
    x = 114,202,354.75/12,129.12
  6. Step 6: Final answer
    x = 9,415.55

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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.