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Finding the Fourth Proportional to 27,376.82, 37,780 and 14,801.57

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Solution

The fourth proportional to 27,376.82, 37,780 and 14,801.57 is: 20,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,376.82 : 37,780 = 14,801.57 : x
  2. Step 2: Convert to fraction form
    27,376.82/37,780 = 14,801.57/x
  3. Step 3: Cross multiply
    27,376.82x = 37,780 × 14,801.57
  4. Step 4: Simplify right side
    27,376.82x = 559,203,125.70
  5. Step 5: Solve for x
    x = 559,203,125.70/27,376.82
  6. Step 6: Final answer
    x = 20,426.16

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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.