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Finding the Fourth Proportional to 21,291.39, 29,381.74 and 11,859.75

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Solution

The fourth proportional to 21,291.39, 29,381.74 and 11,859.75 is: 16,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,291.39 : 29,381.74 = 11,859.75 : x
  2. Step 2: Convert to fraction form
    21,291.39/29,381.74 = 11,859.75/x
  3. Step 3: Cross multiply
    21,291.39x = 29,381.74 × 11,859.75
  4. Step 4: Simplify right side
    21,291.39x = 348,460,061.32
  5. Step 5: Solve for x
    x = 348,460,061.32/21,291.39
  6. Step 6: Final answer
    x = 16,366.24

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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.