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Finding the Fourth Proportional to 23,696.28, 32,699.34 and 13,085.28

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Solution

The fourth proportional to 23,696.28, 32,699.34 and 13,085.28 is: 18,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.28 : 32,699.34 = 13,085.28 : x
  2. Step 2: Convert to fraction form
    23,696.28/32,699.34 = 13,085.28/x
  3. Step 3: Cross multiply
    23,696.28x = 32,699.34 × 13,085.28
  4. Step 4: Simplify right side
    23,696.28x = 427,880,019.72
  5. Step 5: Solve for x
    x = 427,880,019.72/23,696.28
  6. Step 6: Final answer
    x = 18,056.84

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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.