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Finding the Fourth Proportional to 13,491.42, 20,237.13 and 5,699.58

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Solution

The fourth proportional to 13,491.42, 20,237.13 and 5,699.58 is: 8,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.42 : 20,237.13 = 5,699.58 : x
  2. Step 2: Convert to fraction form
    13,491.42/20,237.13 = 5,699.58/x
  3. Step 3: Cross multiply
    13,491.42x = 20,237.13 × 5,699.58
  4. Step 4: Simplify right side
    13,491.42x = 115,343,141.41
  5. Step 5: Solve for x
    x = 115,343,141.41/13,491.42
  6. Step 6: Final answer
    x = 8,549.37

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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.