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Finding the Fourth Proportional to 17,485.58, 24,129.24 and 9,527.78

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Solution

The fourth proportional to 17,485.58, 24,129.24 and 9,527.78 is: 13,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,485.58 : 24,129.24 = 9,527.78 : x
  2. Step 2: Convert to fraction form
    17,485.58/24,129.24 = 9,527.78/x
  3. Step 3: Cross multiply
    17,485.58x = 24,129.24 × 9,527.78
  4. Step 4: Simplify right side
    17,485.58x = 229,898,090.29
  5. Step 5: Solve for x
    x = 229,898,090.29/17,485.58
  6. Step 6: Final answer
    x = 13,147.87

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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.