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Finding the Fourth Proportional to 23,500.78, 32,430.99 and 14,546.50

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Solution

The fourth proportional to 23,500.78, 32,430.99 and 14,546.50 is: 20,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.78 : 32,430.99 = 14,546.50 : x
  2. Step 2: Convert to fraction form
    23,500.78/32,430.99 = 14,546.50/x
  3. Step 3: Cross multiply
    23,500.78x = 32,430.99 × 14,546.50
  4. Step 4: Simplify right side
    23,500.78x = 471,757,396.04
  5. Step 5: Solve for x
    x = 471,757,396.04/23,500.78
  6. Step 6: Final answer
    x = 20,074.12

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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.