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Finding the Fourth Proportional to 19,832.98, 29,755.95 and 15,465.46

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Solution

The fourth proportional to 19,832.98, 29,755.95 and 15,465.46 is: 23,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.98 : 29,755.95 = 15,465.46 : x
  2. Step 2: Convert to fraction form
    19,832.98/29,755.95 = 15,465.46/x
  3. Step 3: Cross multiply
    19,832.98x = 29,755.95 × 15,465.46
  4. Step 4: Simplify right side
    19,832.98x = 460,189,454.49
  5. Step 5: Solve for x
    x = 460,189,454.49/19,832.98
  6. Step 6: Final answer
    x = 23,203.24

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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.