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Finding the Fourth Proportional to 12,235.24, 16,875.30 and 8,049.16

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Solution

The fourth proportional to 12,235.24, 16,875.30 and 8,049.16 is: 11,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.24 : 16,875.30 = 8,049.16 : x
  2. Step 2: Convert to fraction form
    12,235.24/16,875.30 = 8,049.16/x
  3. Step 3: Cross multiply
    12,235.24x = 16,875.30 × 8,049.16
  4. Step 4: Simplify right side
    12,235.24x = 135,831,989.75
  5. Step 5: Solve for x
    x = 135,831,989.75/12,235.24
  6. Step 6: Final answer
    x = 11,101.70

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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.