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Finding the Fourth Proportional to 17,770.48, 26,671.84 and 9,457.49

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Solution

The fourth proportional to 17,770.48, 26,671.84 and 9,457.49 is: 14,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.48 : 26,671.84 = 9,457.49 : x
  2. Step 2: Convert to fraction form
    17,770.48/26,671.84 = 9,457.49/x
  3. Step 3: Cross multiply
    17,770.48x = 26,671.84 × 9,457.49
  4. Step 4: Simplify right side
    17,770.48x = 252,248,703.12
  5. Step 5: Solve for x
    x = 252,248,703.12/17,770.48
  6. Step 6: Final answer
    x = 14,194.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.