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Finding the Fourth Proportional to 13,397.74, 18,490 and 7,431.34

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Solution

The fourth proportional to 13,397.74, 18,490 and 7,431.34 is: 10,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.74 : 18,490 = 7,431.34 : x
  2. Step 2: Convert to fraction form
    13,397.74/18,490 = 7,431.34/x
  3. Step 3: Cross multiply
    13,397.74x = 18,490 × 7,431.34
  4. Step 4: Simplify right side
    13,397.74x = 137,405,476.60
  5. Step 5: Solve for x
    x = 137,405,476.60/13,397.74
  6. Step 6: Final answer
    x = 10,255.87

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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.