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Finding the Fourth Proportional to 27,364.98, 41,034.71 and 14,213.82

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Solution

The fourth proportional to 27,364.98, 41,034.71 and 14,213.82 is: 21,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,364.98 : 41,034.71 = 14,213.82 : x
  2. Step 2: Convert to fraction form
    27,364.98/41,034.71 = 14,213.82/x
  3. Step 3: Cross multiply
    27,364.98x = 41,034.71 × 14,213.82
  4. Step 4: Simplify right side
    27,364.98x = 583,259,774.51
  5. Step 5: Solve for x
    x = 583,259,774.51/27,364.98
  6. Step 6: Final answer
    x = 21,314.10

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