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Finding the Fourth Proportional to 17,683.63, 24,403.41 and 9,726.39

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Solution

The fourth proportional to 17,683.63, 24,403.41 and 9,726.39 is: 13,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.63 : 24,403.41 = 9,726.39 : x
  2. Step 2: Convert to fraction form
    17,683.63/24,403.41 = 9,726.39/x
  3. Step 3: Cross multiply
    17,683.63x = 24,403.41 × 9,726.39
  4. Step 4: Simplify right side
    17,683.63x = 237,357,082.99
  5. Step 5: Solve for x
    x = 237,357,082.99/17,683.63
  6. Step 6: Final answer
    x = 13,422.42

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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.