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Finding the Fourth Proportional to 17,674.79, 24,390.02 and 9,716.63

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Solution

The fourth proportional to 17,674.79, 24,390.02 and 9,716.63 is: 13,408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.79 : 24,390.02 = 9,716.63 : x
  2. Step 2: Convert to fraction form
    17,674.79/24,390.02 = 9,716.63/x
  3. Step 3: Cross multiply
    17,674.79x = 24,390.02 × 9,716.63
  4. Step 4: Simplify right side
    17,674.79x = 236,988,629.50
  5. Step 5: Solve for x
    x = 236,988,629.50/17,674.79
  6. Step 6: Final answer
    x = 13,408.29

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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.