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Finding the Fourth Proportional to 19,833.98, 29,757.45 and 15,466.46

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Solution

The fourth proportional to 19,833.98, 29,757.45 and 15,466.46 is: 23,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.98 : 29,757.45 = 15,466.46 : x
  2. Step 2: Convert to fraction form
    19,833.98/29,757.45 = 15,466.46/x
  3. Step 3: Cross multiply
    19,833.98x = 29,757.45 × 15,466.46
  4. Step 4: Simplify right side
    19,833.98x = 460,242,410.13
  5. Step 5: Solve for x
    x = 460,242,410.13/19,833.98
  6. Step 6: Final answer
    x = 23,204.74

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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.