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Finding the Fourth Proportional to 13,495.71, 20,237.62 and 6,099.87

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Solution

The fourth proportional to 13,495.71, 20,237.62 and 6,099.87 is: 9,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.71 : 20,237.62 = 6,099.87 : x
  2. Step 2: Convert to fraction form
    13,495.71/20,237.62 = 6,099.87/x
  3. Step 3: Cross multiply
    13,495.71x = 20,237.62 × 6,099.87
  4. Step 4: Simplify right side
    13,495.71x = 123,446,851.11
  5. Step 5: Solve for x
    x = 123,446,851.11/13,495.71
  6. Step 6: Final answer
    x = 9,147.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.