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Finding the Fourth Proportional to 12,537.86, 18,807.66 and 4,218.75

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Solution

The fourth proportional to 12,537.86, 18,807.66 and 4,218.75 is: 6,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.86 : 18,807.66 = 4,218.75 : x
  2. Step 2: Convert to fraction form
    12,537.86/18,807.66 = 4,218.75/x
  3. Step 3: Cross multiply
    12,537.86x = 18,807.66 × 4,218.75
  4. Step 4: Simplify right side
    12,537.86x = 79,344,815.63
  5. Step 5: Solve for x
    x = 79,344,815.63/12,537.86
  6. Step 6: Final answer
    x = 6,328.42

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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.