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Finding the Fourth Proportional to 15,863.69, 23,803.70 and 6,985.24

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Solution

The fourth proportional to 15,863.69, 23,803.70 and 6,985.24 is: 10,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,863.69 : 23,803.70 = 6,985.24 : x
  2. Step 2: Convert to fraction form
    15,863.69/23,803.70 = 6,985.24/x
  3. Step 3: Cross multiply
    15,863.69x = 23,803.70 × 6,985.24
  4. Step 4: Simplify right side
    15,863.69x = 166,274,462.95
  5. Step 5: Solve for x
    x = 166,274,462.95/15,863.69
  6. Step 6: Final answer
    x = 10,481.45

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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.