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Finding the Fourth Proportional to 17,726.84, 26,592.70 and 7,865.90

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Solution

The fourth proportional to 17,726.84, 26,592.70 and 7,865.90 is: 11,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.84 : 26,592.70 = 7,865.90 : x
  2. Step 2: Convert to fraction form
    17,726.84/26,592.70 = 7,865.90/x
  3. Step 3: Cross multiply
    17,726.84x = 26,592.70 × 7,865.90
  4. Step 4: Simplify right side
    17,726.84x = 209,175,518.93
  5. Step 5: Solve for x
    x = 209,175,518.93/17,726.84
  6. Step 6: Final answer
    x = 11,799.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.