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Finding the Fourth Proportional to 27,364.76, 37,750 and 17,288.36

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Solution

The fourth proportional to 27,364.76, 37,750 and 17,288.36 is: 23,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,364.76 : 37,750 = 17,288.36 : x
  2. Step 2: Convert to fraction form
    27,364.76/37,750 = 17,288.36/x
  3. Step 3: Cross multiply
    27,364.76x = 37,750 × 17,288.36
  4. Step 4: Simplify right side
    27,364.76x = 652,635,590
  5. Step 5: Solve for x
    x = 652,635,590/27,364.76
  6. Step 6: Final answer
    x = 23,849.49

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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.