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Finding the Fourth Proportional to 13,461.41, 18,576.01 and 7,410.47

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Solution

The fourth proportional to 13,461.41, 18,576.01 and 7,410.47 is: 10,226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.41 : 18,576.01 = 7,410.47 : x
  2. Step 2: Convert to fraction form
    13,461.41/18,576.01 = 7,410.47/x
  3. Step 3: Cross multiply
    13,461.41x = 18,576.01 × 7,410.47
  4. Step 4: Simplify right side
    13,461.41x = 137,656,853.42
  5. Step 5: Solve for x
    x = 137,656,853.42/13,461.41
  6. Step 6: Final answer
    x = 10,226.04

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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.