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Finding the Fourth Proportional to 13,072.61, 18,037.28 and 7,406.87

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Solution

The fourth proportional to 13,072.61, 18,037.28 and 7,406.87 is: 10,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.61 : 18,037.28 = 7,406.87 : x
  2. Step 2: Convert to fraction form
    13,072.61/18,037.28 = 7,406.87/x
  3. Step 3: Cross multiply
    13,072.61x = 18,037.28 × 7,406.87
  4. Step 4: Simplify right side
    13,072.61x = 133,599,660.89
  5. Step 5: Solve for x
    x = 133,599,660.89/13,072.61
  6. Step 6: Final answer
    x = 10,219.82

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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.