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Finding the Fourth Proportional to 13,424.33, 20,130.80 and 5,099.76

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Solution

The fourth proportional to 13,424.33, 20,130.80 and 5,099.76 is: 7,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.33 : 20,130.80 = 5,099.76 : x
  2. Step 2: Convert to fraction form
    13,424.33/20,130.80 = 5,099.76/x
  3. Step 3: Cross multiply
    13,424.33x = 20,130.80 × 5,099.76
  4. Step 4: Simplify right side
    13,424.33x = 102,662,223.11
  5. Step 5: Solve for x
    x = 102,662,223.11/13,424.33
  6. Step 6: Final answer
    x = 7,647.47

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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.