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Finding the Fourth Proportional to 23,657.52, 35,485.50 and 9,613.40

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Solution

The fourth proportional to 23,657.52, 35,485.50 and 9,613.40 is: 14,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.52 : 35,485.50 = 9,613.40 : x
  2. Step 2: Convert to fraction form
    23,657.52/35,485.50 = 9,613.40/x
  3. Step 3: Cross multiply
    23,657.52x = 35,485.50 × 9,613.40
  4. Step 4: Simplify right side
    23,657.52x = 341,136,305.70
  5. Step 5: Solve for x
    x = 341,136,305.70/23,657.52
  6. Step 6: Final answer
    x = 14,419.78

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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.