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Finding the Fourth Proportional to 15,770.58, 23,616.92 and 10,206.84

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Solution

The fourth proportional to 15,770.58, 23,616.92 and 10,206.84 is: 15,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.58 : 23,616.92 = 10,206.84 : x
  2. Step 2: Convert to fraction form
    15,770.58/23,616.92 = 10,206.84/x
  3. Step 3: Cross multiply
    15,770.58x = 23,616.92 × 10,206.84
  4. Step 4: Simplify right side
    15,770.58x = 241,054,123.73
  5. Step 5: Solve for x
    x = 241,054,123.73/15,770.58
  6. Step 6: Final answer
    x = 15,285.05

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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.