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Finding the Fourth Proportional to 17,710.50, 24,438.36 and 10,156.44

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Solution

The fourth proportional to 17,710.50, 24,438.36 and 10,156.44 is: 14,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.50 : 24,438.36 = 10,156.44 : x
  2. Step 2: Convert to fraction form
    17,710.50/24,438.36 = 10,156.44/x
  3. Step 3: Cross multiply
    17,710.50x = 24,438.36 × 10,156.44
  4. Step 4: Simplify right side
    17,710.50x = 248,206,737.04
  5. Step 5: Solve for x
    x = 248,206,737.04/17,710.50
  6. Step 6: Final answer
    x = 14,014.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.