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Finding the Fourth Proportional to 17,698.54, 24,425.08 and 9,742.54

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Solution

The fourth proportional to 17,698.54, 24,425.08 and 9,742.54 is: 13,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.54 : 24,425.08 = 9,742.54 : x
  2. Step 2: Convert to fraction form
    17,698.54/24,425.08 = 9,742.54/x
  3. Step 3: Cross multiply
    17,698.54x = 24,425.08 × 9,742.54
  4. Step 4: Simplify right side
    17,698.54x = 237,962,318.90
  5. Step 5: Solve for x
    x = 237,962,318.90/17,698.54
  6. Step 6: Final answer
    x = 13,445.31

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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.