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Finding the Fourth Proportional to 19,502.94, 26,935.86 and 13,204.38

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Solution

The fourth proportional to 19,502.94, 26,935.86 and 13,204.38 is: 18,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.94 : 26,935.86 = 13,204.38 : x
  2. Step 2: Convert to fraction form
    19,502.94/26,935.86 = 13,204.38/x
  3. Step 3: Cross multiply
    19,502.94x = 26,935.86 × 13,204.38
  4. Step 4: Simplify right side
    19,502.94x = 355,671,331.07
  5. Step 5: Solve for x
    x = 355,671,331.07/19,502.94
  6. Step 6: Final answer
    x = 18,236.81

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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.