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Finding the Fourth Proportional to 13,348.05, 18,420.38 and 7,298.31

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Solution

The fourth proportional to 13,348.05, 18,420.38 and 7,298.31 is: 10,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.05 : 18,420.38 = 7,298.31 : x
  2. Step 2: Convert to fraction form
    13,348.05/18,420.38 = 7,298.31/x
  3. Step 3: Cross multiply
    13,348.05x = 18,420.38 × 7,298.31
  4. Step 4: Simplify right side
    13,348.05x = 134,437,643.56
  5. Step 5: Solve for x
    x = 134,437,643.56/13,348.05
  6. Step 6: Final answer
    x = 10,071.71

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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.