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Finding the Fourth Proportional to 15,837.68, 23,747.74 and 6,484.28

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Solution

The fourth proportional to 15,837.68, 23,747.74 and 6,484.28 is: 9,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.68 : 23,747.74 = 6,484.28 : x
  2. Step 2: Convert to fraction form
    15,837.68/23,747.74 = 6,484.28/x
  3. Step 3: Cross multiply
    15,837.68x = 23,747.74 × 6,484.28
  4. Step 4: Simplify right side
    15,837.68x = 153,986,995.53
  5. Step 5: Solve for x
    x = 153,986,995.53/15,837.68
  6. Step 6: Final answer
    x = 9,722.83

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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.