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Finding the Fourth Proportional to 23,696.17, 32,699.97 and 13,084.97

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Solution

The fourth proportional to 23,696.17, 32,699.97 and 13,084.97 is: 18,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.17 : 32,699.97 = 13,084.97 : x
  2. Step 2: Convert to fraction form
    23,696.17/32,699.97 = 13,084.97/x
  3. Step 3: Cross multiply
    23,696.17x = 32,699.97 × 13,084.97
  4. Step 4: Simplify right side
    23,696.17x = 427,877,962.95
  5. Step 5: Solve for x
    x = 427,877,962.95/23,696.17
  6. Step 6: Final answer
    x = 18,056.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.