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Finding the Fourth Proportional to 27,415, 37,832.70 and 14,839.75

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Solution

The fourth proportional to 27,415, 37,832.70 and 14,839.75 is: 20,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415 : 37,832.70 = 14,839.75 : x
  2. Step 2: Convert to fraction form
    27,415/37,832.70 = 14,839.75/x
  3. Step 3: Cross multiply
    27,415x = 37,832.70 × 14,839.75
  4. Step 4: Simplify right side
    27,415x = 561,427,809.83
  5. Step 5: Solve for x
    x = 561,427,809.83/27,415
  6. Step 6: Final answer
    x = 20,478.86

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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.