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Finding the Fourth Proportional to 21,291.88, 29,377.20 and 14,206

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Solution

The fourth proportional to 21,291.88, 29,377.20 and 14,206 is: 19,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,291.88 : 29,377.20 = 14,206 : x
  2. Step 2: Convert to fraction form
    21,291.88/29,377.20 = 14,206/x
  3. Step 3: Cross multiply
    21,291.88x = 29,377.20 × 14,206
  4. Step 4: Simplify right side
    21,291.88x = 417,332,503.20
  5. Step 5: Solve for x
    x = 417,332,503.20/21,291.88
  6. Step 6: Final answer
    x = 19,600.55

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