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Finding the Fourth Proportional to 17,643.96, 24,349.05 and 9,686.52

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Solution

The fourth proportional to 17,643.96, 24,349.05 and 9,686.52 is: 13,367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.96 : 24,349.05 = 9,686.52 : x
  2. Step 2: Convert to fraction form
    17,643.96/24,349.05 = 9,686.52/x
  3. Step 3: Cross multiply
    17,643.96x = 24,349.05 × 9,686.52
  4. Step 4: Simplify right side
    17,643.96x = 235,857,559.81
  5. Step 5: Solve for x
    x = 235,857,559.81/17,643.96
  6. Step 6: Final answer
    x = 13,367.61

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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.