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Finding the Fourth Proportional to 17,278.48, 23,844 and 9,724.80

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Solution

The fourth proportional to 17,278.48, 23,844 and 9,724.80 is: 13,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278.48 : 23,844 = 9,724.80 : x
  2. Step 2: Convert to fraction form
    17,278.48/23,844 = 9,724.80/x
  3. Step 3: Cross multiply
    17,278.48x = 23,844 × 9,724.80
  4. Step 4: Simplify right side
    17,278.48x = 231,878,131.20
  5. Step 5: Solve for x
    x = 231,878,131.20/17,278.48
  6. Step 6: Final answer
    x = 13,420.05

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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.