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Finding the Fourth Proportional to 29,228.20, 43,842.30 and 9,507.40

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Solution

The fourth proportional to 29,228.20, 43,842.30 and 9,507.40 is: 14,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,228.20 : 43,842.30 = 9,507.40 : x
  2. Step 2: Convert to fraction form
    29,228.20/43,842.30 = 9,507.40/x
  3. Step 3: Cross multiply
    29,228.20x = 43,842.30 × 9,507.40
  4. Step 4: Simplify right side
    29,228.20x = 416,826,283.02
  5. Step 5: Solve for x
    x = 416,826,283.02/29,228.20
  6. Step 6: Final answer
    x = 14,261.10

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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.