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Finding the Fourth Proportional to 14,464.56, 21,681.81 and 6,149.91

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Solution

The fourth proportional to 14,464.56, 21,681.81 and 6,149.91 is: 9,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.56 : 21,681.81 = 6,149.91 : x
  2. Step 2: Convert to fraction form
    14,464.56/21,681.81 = 6,149.91/x
  3. Step 3: Cross multiply
    14,464.56x = 21,681.81 × 6,149.91
  4. Step 4: Simplify right side
    14,464.56x = 133,341,180.14
  5. Step 5: Solve for x
    x = 133,341,180.14/14,464.56
  6. Step 6: Final answer
    x = 9,218.47

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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.