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Finding the Fourth Proportional to 17,112.96, 23,619.84 and 10,823.04

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Solution

The fourth proportional to 17,112.96, 23,619.84 and 10,823.04 is: 14,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,112.96 : 23,619.84 = 10,823.04 : x
  2. Step 2: Convert to fraction form
    17,112.96/23,619.84 = 10,823.04/x
  3. Step 3: Cross multiply
    17,112.96x = 23,619.84 × 10,823.04
  4. Step 4: Simplify right side
    17,112.96x = 255,638,473.11
  5. Step 5: Solve for x
    x = 255,638,473.11/17,112.96
  6. Step 6: Final answer
    x = 14,938.30

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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.