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Finding the Fourth Proportional to 29,233.70, 43,854.60 and 10,509.20

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Solution

The fourth proportional to 29,233.70, 43,854.60 and 10,509.20 is: 15,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,233.70 : 43,854.60 = 10,509.20 : x
  2. Step 2: Convert to fraction form
    29,233.70/43,854.60 = 10,509.20/x
  3. Step 3: Cross multiply
    29,233.70x = 43,854.60 × 10,509.20
  4. Step 4: Simplify right side
    29,233.70x = 460,876,762.32
  5. Step 5: Solve for x
    x = 460,876,762.32/29,233.70
  6. Step 6: Final answer
    x = 15,765.26

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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.