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Finding the Fourth Proportional to 15,917.30, 23,843.13 and 9,323.49

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Solution

The fourth proportional to 15,917.30, 23,843.13 and 9,323.49 is: 13,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,917.30 : 23,843.13 = 9,323.49 : x
  2. Step 2: Convert to fraction form
    15,917.30/23,843.13 = 9,323.49/x
  3. Step 3: Cross multiply
    15,917.30x = 23,843.13 × 9,323.49
  4. Step 4: Simplify right side
    15,917.30x = 222,301,184.12
  5. Step 5: Solve for x
    x = 222,301,184.12/15,917.30
  6. Step 6: Final answer
    x = 13,966.02

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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.