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Finding the Fourth Proportional to 29,233.80, 43,855.31 and 9,507.77

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Solution

The fourth proportional to 29,233.80, 43,855.31 and 9,507.77 is: 14,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,233.80 : 43,855.31 = 9,507.77 : x
  2. Step 2: Convert to fraction form
    29,233.80/43,855.31 = 9,507.77/x
  3. Step 3: Cross multiply
    29,233.80x = 43,855.31 × 9,507.77
  4. Step 4: Simplify right side
    29,233.80x = 416,966,200.76
  5. Step 5: Solve for x
    x = 416,966,200.76/29,233.80
  6. Step 6: Final answer
    x = 14,263.15

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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.