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Finding the Fourth Proportional to 13,346.88, 18,417.72 and 7,378.20

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Solution

The fourth proportional to 13,346.88, 18,417.72 and 7,378.20 is: 10,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,346.88 : 18,417.72 = 7,378.20 : x
  2. Step 2: Convert to fraction form
    13,346.88/18,417.72 = 7,378.20/x
  3. Step 3: Cross multiply
    13,346.88x = 18,417.72 × 7,378.20
  4. Step 4: Simplify right side
    13,346.88x = 135,889,621.70
  5. Step 5: Solve for x
    x = 135,889,621.70/13,346.88
  6. Step 6: Final answer
    x = 10,181.38

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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.