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Finding the Fourth Proportional to 17,631.42, 24,332.04 and 9,673.98

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Solution

The fourth proportional to 17,631.42, 24,332.04 and 9,673.98 is: 13,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631.42 : 24,332.04 = 9,673.98 : x
  2. Step 2: Convert to fraction form
    17,631.42/24,332.04 = 9,673.98/x
  3. Step 3: Cross multiply
    17,631.42x = 24,332.04 × 9,673.98
  4. Step 4: Simplify right side
    17,631.42x = 235,387,668.32
  5. Step 5: Solve for x
    x = 235,387,668.32/17,631.42
  6. Step 6: Final answer
    x = 13,350.47

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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.