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Finding the Fourth Proportional to 18,952.50, 26,155.26 and 10,569

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Solution

The fourth proportional to 18,952.50, 26,155.26 and 10,569 is: 14,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,952.50 : 26,155.26 = 10,569 : x
  2. Step 2: Convert to fraction form
    18,952.50/26,155.26 = 10,569/x
  3. Step 3: Cross multiply
    18,952.50x = 26,155.26 × 10,569
  4. Step 4: Simplify right side
    18,952.50x = 276,434,942.94
  5. Step 5: Solve for x
    x = 276,434,942.94/18,952.50
  6. Step 6: Final answer
    x = 14,585.67

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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.