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Finding the Fourth Proportional to 15,770.72, 23,660.64 and 4,677.67

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Solution

The fourth proportional to 15,770.72, 23,660.64 and 4,677.67 is: 7,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.72 : 23,660.64 = 4,677.67 : x
  2. Step 2: Convert to fraction form
    15,770.72/23,660.64 = 4,677.67/x
  3. Step 3: Cross multiply
    15,770.72x = 23,660.64 × 4,677.67
  4. Step 4: Simplify right side
    15,770.72x = 110,676,665.91
  5. Step 5: Solve for x
    x = 110,676,665.91/15,770.72
  6. Step 6: Final answer
    x = 7,017.86

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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.