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Finding the Fourth Proportional to 13,478.33, 18,599.85 and 7,509.87

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Solution

The fourth proportional to 13,478.33, 18,599.85 and 7,509.87 is: 10,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.33 : 18,599.85 = 7,509.87 : x
  2. Step 2: Convert to fraction form
    13,478.33/18,599.85 = 7,509.87/x
  3. Step 3: Cross multiply
    13,478.33x = 18,599.85 × 7,509.87
  4. Step 4: Simplify right side
    13,478.33x = 139,682,511.41
  5. Step 5: Solve for x
    x = 139,682,511.41/13,478.33
  6. Step 6: Final answer
    x = 10,363.49

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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.