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Finding the Fourth Proportional to 15,763.08, 23,646.78 and 6,997.80

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Solution

The fourth proportional to 15,763.08, 23,646.78 and 6,997.80 is: 10,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.08 : 23,646.78 = 6,997.80 : x
  2. Step 2: Convert to fraction form
    15,763.08/23,646.78 = 6,997.80/x
  3. Step 3: Cross multiply
    15,763.08x = 23,646.78 × 6,997.80
  4. Step 4: Simplify right side
    15,763.08x = 165,475,437.08
  5. Step 5: Solve for x
    x = 165,475,437.08/15,763.08
  6. Step 6: Final answer
    x = 10,497.66

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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.