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Finding the Fourth Proportional to 23,199.77, 32,015.35 and 13,640.74

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Solution

The fourth proportional to 23,199.77, 32,015.35 and 13,640.74 is: 18,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199.77 : 32,015.35 = 13,640.74 : x
  2. Step 2: Convert to fraction form
    23,199.77/32,015.35 = 13,640.74/x
  3. Step 3: Cross multiply
    23,199.77x = 32,015.35 × 13,640.74
  4. Step 4: Simplify right side
    23,199.77x = 436,712,951.22
  5. Step 5: Solve for x
    x = 436,712,951.22/23,199.77
  6. Step 6: Final answer
    x = 18,824.02

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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.