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Finding the Fourth Proportional to 13,700.20, 18,907.38 and 7,733.32

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Solution

The fourth proportional to 13,700.20, 18,907.38 and 7,733.32 is: 10,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.20 : 18,907.38 = 7,733.32 : x
  2. Step 2: Convert to fraction form
    13,700.20/18,907.38 = 7,733.32/x
  3. Step 3: Cross multiply
    13,700.20x = 18,907.38 × 7,733.32
  4. Step 4: Simplify right side
    13,700.20x = 146,216,819.90
  5. Step 5: Solve for x
    x = 146,216,819.90/13,700.20
  6. Step 6: Final answer
    x = 10,672.60

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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.