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Finding the Fourth Proportional to 17,643.37, 24,347.84 and 9,986.51

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Solution

The fourth proportional to 17,643.37, 24,347.84 and 9,986.51 is: 13,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.37 : 24,347.84 = 9,986.51 : x
  2. Step 2: Convert to fraction form
    17,643.37/24,347.84 = 9,986.51/x
  3. Step 3: Cross multiply
    17,643.37x = 24,347.84 × 9,986.51
  4. Step 4: Simplify right side
    17,643.37x = 243,149,947.64
  5. Step 5: Solve for x
    x = 243,149,947.64/17,643.37
  6. Step 6: Final answer
    x = 13,781.38

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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.