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Finding the Fourth Proportional to 29,238.40, 43,858.01 and 9,517.06

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Solution

The fourth proportional to 29,238.40, 43,858.01 and 9,517.06 is: 14,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238.40 : 43,858.01 = 9,517.06 : x
  2. Step 2: Convert to fraction form
    29,238.40/43,858.01 = 9,517.06/x
  3. Step 3: Cross multiply
    29,238.40x = 43,858.01 × 9,517.06
  4. Step 4: Simplify right side
    29,238.40x = 417,399,312.65
  5. Step 5: Solve for x
    x = 417,399,312.65/29,238.40
  6. Step 6: Final answer
    x = 14,275.72

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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.