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Finding the Fourth Proportional to 17,740.86, 24,482.06 and 9,674.61

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Solution

The fourth proportional to 17,740.86, 24,482.06 and 9,674.61 is: 13,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.86 : 24,482.06 = 9,674.61 : x
  2. Step 2: Convert to fraction form
    17,740.86/24,482.06 = 9,674.61/x
  3. Step 3: Cross multiply
    17,740.86x = 24,482.06 × 9,674.61
  4. Step 4: Simplify right side
    17,740.86x = 236,854,334.12
  5. Step 5: Solve for x
    x = 236,854,334.12/17,740.86
  6. Step 6: Final answer
    x = 13,350.78

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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.