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Finding the Fourth Proportional to 23,543.60, 35,311.64 and 7,748.72

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Solution

The fourth proportional to 23,543.60, 35,311.64 and 7,748.72 is: 11,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543.60 : 35,311.64 = 7,748.72 : x
  2. Step 2: Convert to fraction form
    23,543.60/35,311.64 = 7,748.72/x
  3. Step 3: Cross multiply
    23,543.60x = 35,311.64 × 7,748.72
  4. Step 4: Simplify right side
    23,543.60x = 273,620,011.10
  5. Step 5: Solve for x
    x = 273,620,011.10/23,543.60
  6. Step 6: Final answer
    x = 11,621.84

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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.