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Finding the Fourth Proportional to 13,410.71, 18,506.79 and 7,442.38

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Solution

The fourth proportional to 13,410.71, 18,506.79 and 7,442.38 is: 10,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.71 : 18,506.79 = 7,442.38 : x
  2. Step 2: Convert to fraction form
    13,410.71/18,506.79 = 7,442.38/x
  3. Step 3: Cross multiply
    13,410.71x = 18,506.79 × 7,442.38
  4. Step 4: Simplify right side
    13,410.71x = 137,734,586.89
  5. Step 5: Solve for x
    x = 137,734,586.89/13,410.71
  6. Step 6: Final answer
    x = 10,270.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.