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Finding the Fourth Proportional to 23,314, 35,001.48 and 13,843.60

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Solution

The fourth proportional to 23,314, 35,001.48 and 13,843.60 is: 20,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314 : 35,001.48 = 13,843.60 : x
  2. Step 2: Convert to fraction form
    23,314/35,001.48 = 13,843.60/x
  3. Step 3: Cross multiply
    23,314x = 35,001.48 × 13,843.60
  4. Step 4: Simplify right side
    23,314x = 484,546,488.53
  5. Step 5: Solve for x
    x = 484,546,488.53/23,314
  6. Step 6: Final answer
    x = 20,783.50

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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.