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Finding the Fourth Proportional to 23,538.76, 35,327.58 and 9,697.48

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Solution

The fourth proportional to 23,538.76, 35,327.58 and 9,697.48 is: 14,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.76 : 35,327.58 = 9,697.48 : x
  2. Step 2: Convert to fraction form
    23,538.76/35,327.58 = 9,697.48/x
  3. Step 3: Cross multiply
    23,538.76x = 35,327.58 × 9,697.48
  4. Step 4: Simplify right side
    23,538.76x = 342,588,500.50
  5. Step 5: Solve for x
    x = 342,588,500.50/23,538.76
  6. Step 6: Final answer
    x = 14,554.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.