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Finding the Fourth Proportional to 23,500.50, 32,433.57 and 13,564.50

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Solution

The fourth proportional to 23,500.50, 32,433.57 and 13,564.50 is: 18,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.50 : 32,433.57 = 13,564.50 : x
  2. Step 2: Convert to fraction form
    23,500.50/32,433.57 = 13,564.50/x
  3. Step 3: Cross multiply
    23,500.50x = 32,433.57 × 13,564.50
  4. Step 4: Simplify right side
    23,500.50x = 439,945,160.27
  5. Step 5: Solve for x
    x = 439,945,160.27/23,500.50
  6. Step 6: Final answer
    x = 18,720.67

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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.