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Finding the Fourth Proportional to 10,000.26, 14,989.95 and 3,424.14

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Solution

The fourth proportional to 10,000.26, 14,989.95 and 3,424.14 is: 5,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.26 : 14,989.95 = 3,424.14 : x
  2. Step 2: Convert to fraction form
    10,000.26/14,989.95 = 3,424.14/x
  3. Step 3: Cross multiply
    10,000.26x = 14,989.95 × 3,424.14
  4. Step 4: Simplify right side
    10,000.26x = 51,327,687.39
  5. Step 5: Solve for x
    x = 51,327,687.39/10,000.26
  6. Step 6: Final answer
    x = 5,132.64

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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.