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Finding the Fourth Proportional to 12,557.84, 18,824.52 and 5,982.26

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Solution

The fourth proportional to 12,557.84, 18,824.52 and 5,982.26 is: 8,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.84 : 18,824.52 = 5,982.26 : x
  2. Step 2: Convert to fraction form
    12,557.84/18,824.52 = 5,982.26/x
  3. Step 3: Cross multiply
    12,557.84x = 18,824.52 × 5,982.26
  4. Step 4: Simplify right side
    12,557.84x = 112,613,173.02
  5. Step 5: Solve for x
    x = 112,613,173.02/12,557.84
  6. Step 6: Final answer
    x = 8,967.56

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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.