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Finding the Fourth Proportional to 23,556.96, 35,344.80 and 9,702.72

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Solution

The fourth proportional to 23,556.96, 35,344.80 and 9,702.72 is: 14,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,556.96 : 35,344.80 = 9,702.72 : x
  2. Step 2: Convert to fraction form
    23,556.96/35,344.80 = 9,702.72/x
  3. Step 3: Cross multiply
    23,556.96x = 35,344.80 × 9,702.72
  4. Step 4: Simplify right side
    23,556.96x = 342,940,697.86
  5. Step 5: Solve for x
    x = 342,940,697.86/23,556.96
  6. Step 6: Final answer
    x = 14,557.94

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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.