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Finding the Fourth Proportional to 14,509.35, 21,767.67 and 5,743.13

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Solution

The fourth proportional to 14,509.35, 21,767.67 and 5,743.13 is: 8,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.35 : 21,767.67 = 5,743.13 : x
  2. Step 2: Convert to fraction form
    14,509.35/21,767.67 = 5,743.13/x
  3. Step 3: Cross multiply
    14,509.35x = 21,767.67 × 5,743.13
  4. Step 4: Simplify right side
    14,509.35x = 125,014,449.77
  5. Step 5: Solve for x
    x = 125,014,449.77/14,509.35
  6. Step 6: Final answer
    x = 8,616.13

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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.