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Finding the Fourth Proportional to 17,277.12, 23,841.54 and 9,724.68

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Solution

The fourth proportional to 17,277.12, 23,841.54 and 9,724.68 is: 13,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277.12 : 23,841.54 = 9,724.68 : x
  2. Step 2: Convert to fraction form
    17,277.12/23,841.54 = 9,724.68/x
  3. Step 3: Cross multiply
    17,277.12x = 23,841.54 × 9,724.68
  4. Step 4: Simplify right side
    17,277.12x = 231,851,347.21
  5. Step 5: Solve for x
    x = 231,851,347.21/17,277.12
  6. Step 6: Final answer
    x = 13,419.56

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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.