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Finding the Fourth Proportional to 17,276.96, 23,842.24 and 9,824.96

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Solution

The fourth proportional to 17,276.96, 23,842.24 and 9,824.96 is: 13,558.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,276.96 : 23,842.24 = 9,824.96 : x
  2. Step 2: Convert to fraction form
    17,276.96/23,842.24 = 9,824.96/x
  3. Step 3: Cross multiply
    17,276.96x = 23,842.24 × 9,824.96
  4. Step 4: Simplify right side
    17,276.96x = 234,249,054.31
  5. Step 5: Solve for x
    x = 234,249,054.31/17,276.96
  6. Step 6: Final answer
    x = 13,558.46

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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.