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Finding the Fourth Proportional to 29,853.24, 44,770.68 and 9,859.14

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Solution

The fourth proportional to 29,853.24, 44,770.68 and 9,859.14 is: 14,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.24 : 44,770.68 = 9,859.14 : x
  2. Step 2: Convert to fraction form
    29,853.24/44,770.68 = 9,859.14/x
  3. Step 3: Cross multiply
    29,853.24x = 44,770.68 × 9,859.14
  4. Step 4: Simplify right side
    29,853.24x = 441,400,402.02
  5. Step 5: Solve for x
    x = 441,400,402.02/29,853.24
  6. Step 6: Final answer
    x = 14,785.68

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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.