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Finding the Fourth Proportional to 19,409.38, 26,795.13 and 13,069.30

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Solution

The fourth proportional to 19,409.38, 26,795.13 and 13,069.30 is: 18,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.38 : 26,795.13 = 13,069.30 : x
  2. Step 2: Convert to fraction form
    19,409.38/26,795.13 = 13,069.30/x
  3. Step 3: Cross multiply
    19,409.38x = 26,795.13 × 13,069.30
  4. Step 4: Simplify right side
    19,409.38x = 350,193,592.51
  5. Step 5: Solve for x
    x = 350,193,592.51/19,409.38
  6. Step 6: Final answer
    x = 18,042.49

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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.