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Finding the Fourth Proportional to 13,428.52, 18,531.38 and 7,460.20

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Solution

The fourth proportional to 13,428.52, 18,531.38 and 7,460.20 is: 10,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.52 : 18,531.38 = 7,460.20 : x
  2. Step 2: Convert to fraction form
    13,428.52/18,531.38 = 7,460.20/x
  3. Step 3: Cross multiply
    13,428.52x = 18,531.38 × 7,460.20
  4. Step 4: Simplify right side
    13,428.52x = 138,247,801.08
  5. Step 5: Solve for x
    x = 138,247,801.08/13,428.52
  6. Step 6: Final answer
    x = 10,295.09

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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.