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Finding the Fourth Proportional to 12,102.18, 16,700.73 and 6,724.32

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Solution

The fourth proportional to 12,102.18, 16,700.73 and 6,724.32 is: 9,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.18 : 16,700.73 = 6,724.32 : x
  2. Step 2: Convert to fraction form
    12,102.18/16,700.73 = 6,724.32/x
  3. Step 3: Cross multiply
    12,102.18x = 16,700.73 × 6,724.32
  4. Step 4: Simplify right side
    12,102.18x = 112,301,052.75
  5. Step 5: Solve for x
    x = 112,301,052.75/12,102.18
  6. Step 6: Final answer
    x = 9,279.41

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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.