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Finding the Fourth Proportional to 17,154, 23,675.76 and 10,084.32

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Solution

The fourth proportional to 17,154, 23,675.76 and 10,084.32 is: 13,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154 : 23,675.76 = 10,084.32 : x
  2. Step 2: Convert to fraction form
    17,154/23,675.76 = 10,084.32/x
  3. Step 3: Cross multiply
    17,154x = 23,675.76 × 10,084.32
  4. Step 4: Simplify right side
    17,154x = 238,753,940.08
  5. Step 5: Solve for x
    x = 238,753,940.08/17,154
  6. Step 6: Final answer
    x = 13,918.27

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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.