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Finding the Fourth Proportional to 14,993.72, 22,502.14 and 5,642.20

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Solution

The fourth proportional to 14,993.72, 22,502.14 and 5,642.20 is: 8,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,993.72 : 22,502.14 = 5,642.20 : x
  2. Step 2: Convert to fraction form
    14,993.72/22,502.14 = 5,642.20/x
  3. Step 3: Cross multiply
    14,993.72x = 22,502.14 × 5,642.20
  4. Step 4: Simplify right side
    14,993.72x = 126,961,574.31
  5. Step 5: Solve for x
    x = 126,961,574.31/14,993.72
  6. Step 6: Final answer
    x = 8,467.65

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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.