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Finding the Fourth Proportional to 23,500.47, 35,239.74 and 8,709.06

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Solution

The fourth proportional to 23,500.47, 35,239.74 and 8,709.06 is: 13,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.47 : 35,239.74 = 8,709.06 : x
  2. Step 2: Convert to fraction form
    23,500.47/35,239.74 = 8,709.06/x
  3. Step 3: Cross multiply
    23,500.47x = 35,239.74 × 8,709.06
  4. Step 4: Simplify right side
    23,500.47x = 306,905,010.04
  5. Step 5: Solve for x
    x = 306,905,010.04/23,500.47
  6. Step 6: Final answer
    x = 13,059.53

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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.