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Finding the Fourth Proportional to 29,237.75, 43,857.30 and 9,517.84

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Solution

The fourth proportional to 29,237.75, 43,857.30 and 9,517.84 is: 14,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,237.75 : 43,857.30 = 9,517.84 : x
  2. Step 2: Convert to fraction form
    29,237.75/43,857.30 = 9,517.84/x
  3. Step 3: Cross multiply
    29,237.75x = 43,857.30 × 9,517.84
  4. Step 4: Simplify right side
    29,237.75x = 417,426,764.23
  5. Step 5: Solve for x
    x = 417,426,764.23/29,237.75
  6. Step 6: Final answer
    x = 14,276.98

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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.