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Finding the Fourth Proportional to 12,537.47, 18,801.34 and 6,690.89

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Solution

The fourth proportional to 12,537.47, 18,801.34 and 6,690.89 is: 10,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.47 : 18,801.34 = 6,690.89 : x
  2. Step 2: Convert to fraction form
    12,537.47/18,801.34 = 6,690.89/x
  3. Step 3: Cross multiply
    12,537.47x = 18,801.34 × 6,690.89
  4. Step 4: Simplify right side
    12,537.47x = 125,797,697.79
  5. Step 5: Solve for x
    x = 125,797,697.79/12,537.47
  6. Step 6: Final answer
    x = 10,033.74

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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.