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Finding the Fourth Proportional to 29,254.20, 43,886.58 and 9,531

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Solution

The fourth proportional to 29,254.20, 43,886.58 and 9,531 is: 14,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,254.20 : 43,886.58 = 9,531 : x
  2. Step 2: Convert to fraction form
    29,254.20/43,886.58 = 9,531/x
  3. Step 3: Cross multiply
    29,254.20x = 43,886.58 × 9,531
  4. Step 4: Simplify right side
    29,254.20x = 418,282,993.98
  5. Step 5: Solve for x
    x = 418,282,993.98/29,254.20
  6. Step 6: Final answer
    x = 14,298.22

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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.