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Finding the Fourth Proportional to 17,525.58, 24,185.16 and 9,567.74

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Solution

The fourth proportional to 17,525.58, 24,185.16 and 9,567.74 is: 13,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,525.58 : 24,185.16 = 9,567.74 : x
  2. Step 2: Convert to fraction form
    17,525.58/24,185.16 = 9,567.74/x
  3. Step 3: Cross multiply
    17,525.58x = 24,185.16 × 9,567.74
  4. Step 4: Simplify right side
    17,525.58x = 231,397,201.81
  5. Step 5: Solve for x
    x = 231,397,201.81/17,525.58
  6. Step 6: Final answer
    x = 13,203.40

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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.