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Finding the Fourth Proportional to 27,938, 38,545.80 and 18,511.76

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Solution

The fourth proportional to 27,938, 38,545.80 and 18,511.76 is: 25,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938 : 38,545.80 = 18,511.76 : x
  2. Step 2: Convert to fraction form
    27,938/38,545.80 = 18,511.76/x
  3. Step 3: Cross multiply
    27,938x = 38,545.80 × 18,511.76
  4. Step 4: Simplify right side
    27,938x = 713,550,598.61
  5. Step 5: Solve for x
    x = 713,550,598.61/27,938
  6. Step 6: Final answer
    x = 25,540.50

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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.