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Finding the Fourth Proportional to 27,377.38, 37,780.80 and 14,802.12

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Solution

The fourth proportional to 27,377.38, 37,780.80 and 14,802.12 is: 20,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,377.38 : 37,780.80 = 14,802.12 : x
  2. Step 2: Convert to fraction form
    27,377.38/37,780.80 = 14,802.12/x
  3. Step 3: Cross multiply
    27,377.38x = 37,780.80 × 14,802.12
  4. Step 4: Simplify right side
    27,377.38x = 559,235,935.30
  5. Step 5: Solve for x
    x = 559,235,935.30/27,377.38
  6. Step 6: Final answer
    x = 20,426.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.