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Finding the Fourth Proportional to 10,014.52, 15,022.56 and 2,994

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Solution

The fourth proportional to 10,014.52, 15,022.56 and 2,994 is: 4,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.52 : 15,022.56 = 2,994 : x
  2. Step 2: Convert to fraction form
    10,014.52/15,022.56 = 2,994/x
  3. Step 3: Cross multiply
    10,014.52x = 15,022.56 × 2,994
  4. Step 4: Simplify right side
    10,014.52x = 44,977,544.64
  5. Step 5: Solve for x
    x = 44,977,544.64/10,014.52
  6. Step 6: Final answer
    x = 4,491.23

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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.