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Finding the Fourth Proportional to 23,708.01, 32,716.98 and 13,097.64

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Solution

The fourth proportional to 23,708.01, 32,716.98 and 13,097.64 is: 18,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,708.01 : 32,716.98 = 13,097.64 : x
  2. Step 2: Convert to fraction form
    23,708.01/32,716.98 = 13,097.64/x
  3. Step 3: Cross multiply
    23,708.01x = 32,716.98 × 13,097.64
  4. Step 4: Simplify right side
    23,708.01x = 428,515,225.93
  5. Step 5: Solve for x
    x = 428,515,225.93/23,708.01
  6. Step 6: Final answer
    x = 18,074.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.