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Finding the Fourth Proportional to 12,089.65, 18,141.66 and 6,542.88

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Solution

The fourth proportional to 12,089.65, 18,141.66 and 6,542.88 is: 9,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.65 : 18,141.66 = 6,542.88 : x
  2. Step 2: Convert to fraction form
    12,089.65/18,141.66 = 6,542.88/x
  3. Step 3: Cross multiply
    12,089.65x = 18,141.66 × 6,542.88
  4. Step 4: Simplify right side
    12,089.65x = 118,698,704.38
  5. Step 5: Solve for x
    x = 118,698,704.38/12,089.65
  6. Step 6: Final answer
    x = 9,818.21

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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.