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Finding the Fourth Proportional to 26,381.34, 36,405.18 and 15,776.82

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Solution

The fourth proportional to 26,381.34, 36,405.18 and 15,776.82 is: 21,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,381.34 : 36,405.18 = 15,776.82 : x
  2. Step 2: Convert to fraction form
    26,381.34/36,405.18 = 15,776.82/x
  3. Step 3: Cross multiply
    26,381.34x = 36,405.18 × 15,776.82
  4. Step 4: Simplify right side
    26,381.34x = 574,357,971.93
  5. Step 5: Solve for x
    x = 574,357,971.93/26,381.34
  6. Step 6: Final answer
    x = 21,771.37

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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.