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Finding the Fourth Proportional to 23,168.49, 34,752.74 and 9,314.25

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Solution

The fourth proportional to 23,168.49, 34,752.74 and 9,314.25 is: 13,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,168.49 : 34,752.74 = 9,314.25 : x
  2. Step 2: Convert to fraction form
    23,168.49/34,752.74 = 9,314.25/x
  3. Step 3: Cross multiply
    23,168.49x = 34,752.74 × 9,314.25
  4. Step 4: Simplify right side
    23,168.49x = 323,695,661.97
  5. Step 5: Solve for x
    x = 323,695,661.97/23,168.49
  6. Step 6: Final answer
    x = 13,971.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.