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Finding the Fourth Proportional to 12,606.62, 18,920.01 and 5,681.66

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Solution

The fourth proportional to 12,606.62, 18,920.01 and 5,681.66 is: 8,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.62 : 18,920.01 = 5,681.66 : x
  2. Step 2: Convert to fraction form
    12,606.62/18,920.01 = 5,681.66/x
  3. Step 3: Cross multiply
    12,606.62x = 18,920.01 × 5,681.66
  4. Step 4: Simplify right side
    12,606.62x = 107,497,064.02
  5. Step 5: Solve for x
    x = 107,497,064.02/12,606.62
  6. Step 6: Final answer
    x = 8,527.03

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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.