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Finding the Fourth Proportional to 23,696.55, 32,685.93 and 14,256

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Solution

The fourth proportional to 23,696.55, 32,685.93 and 14,256 is: 19,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.55 : 32,685.93 = 14,256 : x
  2. Step 2: Convert to fraction form
    23,696.55/32,685.93 = 14,256/x
  3. Step 3: Cross multiply
    23,696.55x = 32,685.93 × 14,256
  4. Step 4: Simplify right side
    23,696.55x = 465,970,618.08
  5. Step 5: Solve for x
    x = 465,970,618.08/23,696.55
  6. Step 6: Final answer
    x = 19,664.07

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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.