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Finding the Fourth Proportional to 23,620.60, 32,384.77 and 23,199

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Solution

The fourth proportional to 23,620.60, 32,384.77 and 23,199 is: 31,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,620.60 : 32,384.77 = 23,199 : x
  2. Step 2: Convert to fraction form
    23,620.60/32,384.77 = 23,199/x
  3. Step 3: Cross multiply
    23,620.60x = 32,384.77 × 23,199
  4. Step 4: Simplify right side
    23,620.60x = 751,294,279.23
  5. Step 5: Solve for x
    x = 751,294,279.23/23,620.60
  6. Step 6: Final answer
    x = 31,806.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.