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Finding the Fourth Proportional to 15,677.32, 23,523.18 and 6,795.36

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Solution

The fourth proportional to 15,677.32, 23,523.18 and 6,795.36 is: 10,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.32 : 23,523.18 = 6,795.36 : x
  2. Step 2: Convert to fraction form
    15,677.32/23,523.18 = 6,795.36/x
  3. Step 3: Cross multiply
    15,677.32x = 23,523.18 × 6,795.36
  4. Step 4: Simplify right side
    15,677.32x = 159,848,476.44
  5. Step 5: Solve for x
    x = 159,848,476.44/15,677.32
  6. Step 6: Final answer
    x = 10,196.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.