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Finding the Fourth Proportional to 13,537.31, 18,681.50 and 7,568.98

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Solution

The fourth proportional to 13,537.31, 18,681.50 and 7,568.98 is: 10,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.31 : 18,681.50 = 7,568.98 : x
  2. Step 2: Convert to fraction form
    13,537.31/18,681.50 = 7,568.98/x
  3. Step 3: Cross multiply
    13,537.31x = 18,681.50 × 7,568.98
  4. Step 4: Simplify right side
    13,537.31x = 141,399,899.87
  5. Step 5: Solve for x
    x = 141,399,899.87/13,537.31
  6. Step 6: Final answer
    x = 10,445.20

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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.