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Finding the Fourth Proportional to 23,803.94, 32,848.16 and 13,731.78

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Solution

The fourth proportional to 23,803.94, 32,848.16 and 13,731.78 is: 18,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803.94 : 32,848.16 = 13,731.78 : x
  2. Step 2: Convert to fraction form
    23,803.94/32,848.16 = 13,731.78/x
  3. Step 3: Cross multiply
    23,803.94x = 32,848.16 × 13,731.78
  4. Step 4: Simplify right side
    23,803.94x = 451,063,706.52
  5. Step 5: Solve for x
    x = 451,063,706.52/23,803.94
  6. Step 6: Final answer
    x = 18,949.12

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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.