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Finding the Fourth Proportional to 12,537.96, 18,802.92 and 4,215.72

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Solution

The fourth proportional to 12,537.96, 18,802.92 and 4,215.72 is: 6,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.96 : 18,802.92 = 4,215.72 : x
  2. Step 2: Convert to fraction form
    12,537.96/18,802.92 = 4,215.72/x
  3. Step 3: Cross multiply
    12,537.96x = 18,802.92 × 4,215.72
  4. Step 4: Simplify right side
    12,537.96x = 79,267,845.90
  5. Step 5: Solve for x
    x = 79,267,845.90/12,537.96
  6. Step 6: Final answer
    x = 6,322.23

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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.