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Finding the Fourth Proportional to 14,228.57, 21,345.62 and 5,462.80

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Solution

The fourth proportional to 14,228.57, 21,345.62 and 5,462.80 is: 8,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.57 : 21,345.62 = 5,462.80 : x
  2. Step 2: Convert to fraction form
    14,228.57/21,345.62 = 5,462.80/x
  3. Step 3: Cross multiply
    14,228.57x = 21,345.62 × 5,462.80
  4. Step 4: Simplify right side
    14,228.57x = 116,606,772.26
  5. Step 5: Solve for x
    x = 116,606,772.26/14,228.57
  6. Step 6: Final answer
    x = 8,195.25

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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.