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Finding the Fourth Proportional to 23,226.93, 32,055.87 and 13,795.49

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Solution

The fourth proportional to 23,226.93, 32,055.87 and 13,795.49 is: 19,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.93 : 32,055.87 = 13,795.49 : x
  2. Step 2: Convert to fraction form
    23,226.93/32,055.87 = 13,795.49/x
  3. Step 3: Cross multiply
    23,226.93x = 32,055.87 × 13,795.49
  4. Step 4: Simplify right side
    23,226.93x = 442,226,273.75
  5. Step 5: Solve for x
    x = 442,226,273.75/23,226.93
  6. Step 6: Final answer
    x = 19,039.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.