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Finding the Fourth Proportional to 23,694.54, 32,698.80 and 13,084.35

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Solution

The fourth proportional to 23,694.54, 32,698.80 and 13,084.35 is: 18,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.54 : 32,698.80 = 13,084.35 : x
  2. Step 2: Convert to fraction form
    23,694.54/32,698.80 = 13,084.35/x
  3. Step 3: Cross multiply
    23,694.54x = 32,698.80 × 13,084.35
  4. Step 4: Simplify right side
    23,694.54x = 427,842,543.78
  5. Step 5: Solve for x
    x = 427,842,543.78/23,694.54
  6. Step 6: Final answer
    x = 18,056.59

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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.