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Finding the Fourth Proportional to 29,384.40, 44,067.60 and 9,658.40

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Solution

The fourth proportional to 29,384.40, 44,067.60 and 9,658.40 is: 14,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,384.40 : 44,067.60 = 9,658.40 : x
  2. Step 2: Convert to fraction form
    29,384.40/44,067.60 = 9,658.40/x
  3. Step 3: Cross multiply
    29,384.40x = 44,067.60 × 9,658.40
  4. Step 4: Simplify right side
    29,384.40x = 425,622,507.84
  5. Step 5: Solve for x
    x = 425,622,507.84/29,384.40
  6. Step 6: Final answer
    x = 14,484.64

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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.