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Finding the Fourth Proportional to 27,178.36, 37,497.92 and 17,116.76

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Solution

The fourth proportional to 27,178.36, 37,497.92 and 17,116.76 is: 23,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.36 : 37,497.92 = 17,116.76 : x
  2. Step 2: Convert to fraction form
    27,178.36/37,497.92 = 17,116.76/x
  3. Step 3: Cross multiply
    27,178.36x = 37,497.92 × 17,116.76
  4. Step 4: Simplify right side
    27,178.36x = 641,842,897.14
  5. Step 5: Solve for x
    x = 641,842,897.14/27,178.36
  6. Step 6: Final answer
    x = 23,615.95

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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.