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Finding the Fourth Proportional to 19,203.54, 26,499.78 and 10,705.38

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Solution

The fourth proportional to 19,203.54, 26,499.78 and 10,705.38 is: 14,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,203.54 : 26,499.78 = 10,705.38 : x
  2. Step 2: Convert to fraction form
    19,203.54/26,499.78 = 10,705.38/x
  3. Step 3: Cross multiply
    19,203.54x = 26,499.78 × 10,705.38
  4. Step 4: Simplify right side
    19,203.54x = 283,690,214.82
  5. Step 5: Solve for x
    x = 283,690,214.82/19,203.54
  6. Step 6: Final answer
    x = 14,772.81

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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.