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Finding the Fourth Proportional to 29,206.68, 43,816.32 and 9,483.72

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Solution

The fourth proportional to 29,206.68, 43,816.32 and 9,483.72 is: 14,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206.68 : 43,816.32 = 9,483.72 : x
  2. Step 2: Convert to fraction form
    29,206.68/43,816.32 = 9,483.72/x
  3. Step 3: Cross multiply
    29,206.68x = 43,816.32 × 9,483.72
  4. Step 4: Simplify right side
    29,206.68x = 415,541,710.31
  5. Step 5: Solve for x
    x = 415,541,710.31/29,206.68
  6. Step 6: Final answer
    x = 14,227.63

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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.