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Finding the Fourth Proportional to 27,374.25, 37,776.48 and 14,799

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Solution

The fourth proportional to 27,374.25, 37,776.48 and 14,799 is: 20,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,374.25 : 37,776.48 = 14,799 : x
  2. Step 2: Convert to fraction form
    27,374.25/37,776.48 = 14,799/x
  3. Step 3: Cross multiply
    27,374.25x = 37,776.48 × 14,799
  4. Step 4: Simplify right side
    27,374.25x = 559,054,127.52
  5. Step 5: Solve for x
    x = 559,054,127.52/27,374.25
  6. Step 6: Final answer
    x = 20,422.63

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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.