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Finding the Fourth Proportional to 12,425.80, 18,595.69 and 7,680.01

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Solution

The fourth proportional to 12,425.80, 18,595.69 and 7,680.01 is: 11,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.80 : 18,595.69 = 7,680.01 : x
  2. Step 2: Convert to fraction form
    12,425.80/18,595.69 = 7,680.01/x
  3. Step 3: Cross multiply
    12,425.80x = 18,595.69 × 7,680.01
  4. Step 4: Simplify right side
    12,425.80x = 142,815,085.16
  5. Step 5: Solve for x
    x = 142,815,085.16/12,425.80
  6. Step 6: Final answer
    x = 11,493.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.