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Finding the Fourth Proportional to 17,684.60, 24,404.09 and 9,726.35

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Solution

The fourth proportional to 17,684.60, 24,404.09 and 9,726.35 is: 13,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.60 : 24,404.09 = 9,726.35 : x
  2. Step 2: Convert to fraction form
    17,684.60/24,404.09 = 9,726.35/x
  3. Step 3: Cross multiply
    17,684.60x = 24,404.09 × 9,726.35
  4. Step 4: Simplify right side
    17,684.60x = 237,362,550.12
  5. Step 5: Solve for x
    x = 237,362,550.12/17,684.60
  6. Step 6: Final answer
    x = 13,422.00

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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.