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Finding the Fourth Proportional to 29,238.66, 43,858.80 and 9,518.40

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Solution

The fourth proportional to 29,238.66, 43,858.80 and 9,518.40 is: 14,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238.66 : 43,858.80 = 9,518.40 : x
  2. Step 2: Convert to fraction form
    29,238.66/43,858.80 = 9,518.40/x
  3. Step 3: Cross multiply
    29,238.66x = 43,858.80 × 9,518.40
  4. Step 4: Simplify right side
    29,238.66x = 417,465,601.92
  5. Step 5: Solve for x
    x = 417,465,601.92/29,238.66
  6. Step 6: Final answer
    x = 14,277.86

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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.