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Finding the Fourth Proportional to 27,377.25, 37,780.62 and 14,802

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Solution

The fourth proportional to 27,377.25, 37,780.62 and 14,802 is: 20,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,377.25 : 37,780.62 = 14,802 : x
  2. Step 2: Convert to fraction form
    27,377.25/37,780.62 = 14,802/x
  3. Step 3: Cross multiply
    27,377.25x = 37,780.62 × 14,802
  4. Step 4: Simplify right side
    27,377.25x = 559,228,737.24
  5. Step 5: Solve for x
    x = 559,228,737.24/27,377.25
  6. Step 6: Final answer
    x = 20,426.77

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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.