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Finding the Fourth Proportional to 23,696.72, 32,700.48 and 13,084.64

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Solution

The fourth proportional to 23,696.72, 32,700.48 and 13,084.64 is: 18,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.72 : 32,700.48 = 13,084.64 : x
  2. Step 2: Convert to fraction form
    23,696.72/32,700.48 = 13,084.64/x
  3. Step 3: Cross multiply
    23,696.72x = 32,700.48 × 13,084.64
  4. Step 4: Simplify right side
    23,696.72x = 427,874,008.63
  5. Step 5: Solve for x
    x = 427,874,008.63/23,696.72
  6. Step 6: Final answer
    x = 18,056.25

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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.