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Finding the Fourth Proportional to 23,696.16, 32,699.68 and 13,084.96

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Solution

The fourth proportional to 23,696.16, 32,699.68 and 13,084.96 is: 18,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.16 : 32,699.68 = 13,084.96 : x
  2. Step 2: Convert to fraction form
    23,696.16/32,699.68 = 13,084.96/x
  3. Step 3: Cross multiply
    23,696.16x = 32,699.68 × 13,084.96
  4. Step 4: Simplify right side
    23,696.16x = 427,874,004.81
  5. Step 5: Solve for x
    x = 427,874,004.81/23,696.16
  6. Step 6: Final answer
    x = 18,056.68

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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.