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Finding the Fourth Proportional to 13,537.81, 18,682.41 and 7,568.83

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Solution

The fourth proportional to 13,537.81, 18,682.41 and 7,568.83 is: 10,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.81 : 18,682.41 = 7,568.83 : x
  2. Step 2: Convert to fraction form
    13,537.81/18,682.41 = 7,568.83/x
  3. Step 3: Cross multiply
    13,537.81x = 18,682.41 × 7,568.83
  4. Step 4: Simplify right side
    13,537.81x = 141,403,985.28
  5. Step 5: Solve for x
    x = 141,403,985.28/13,537.81
  6. Step 6: Final answer
    x = 10,445.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.