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Finding the Fourth Proportional to 12,114.98, 16,720.06 and 6,737.96

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Solution

The fourth proportional to 12,114.98, 16,720.06 and 6,737.96 is: 9,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.98 : 16,720.06 = 6,737.96 : x
  2. Step 2: Convert to fraction form
    12,114.98/16,720.06 = 6,737.96/x
  3. Step 3: Cross multiply
    12,114.98x = 16,720.06 × 6,737.96
  4. Step 4: Simplify right side
    12,114.98x = 112,659,095.48
  5. Step 5: Solve for x
    x = 112,659,095.48/12,114.98
  6. Step 6: Final answer
    x = 9,299.16

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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.