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Finding the Fourth Proportional to 14,508.14, 21,756.06 and 5,150.52

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Solution

The fourth proportional to 14,508.14, 21,756.06 and 5,150.52 is: 7,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508.14 : 21,756.06 = 5,150.52 : x
  2. Step 2: Convert to fraction form
    14,508.14/21,756.06 = 5,150.52/x
  3. Step 3: Cross multiply
    14,508.14x = 21,756.06 × 5,150.52
  4. Step 4: Simplify right side
    14,508.14x = 112,055,022.15
  5. Step 5: Solve for x
    x = 112,055,022.15/14,508.14
  6. Step 6: Final answer
    x = 7,723.60

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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.