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Finding the Fourth Proportional to 27,497.76, 37,946.91 and 14,922.51

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Solution

The fourth proportional to 27,497.76, 37,946.91 and 14,922.51 is: 20,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497.76 : 37,946.91 = 14,922.51 : x
  2. Step 2: Convert to fraction form
    27,497.76/37,946.91 = 14,922.51/x
  3. Step 3: Cross multiply
    27,497.76x = 37,946.91 × 14,922.51
  4. Step 4: Simplify right side
    27,497.76x = 566,263,143.94
  5. Step 5: Solve for x
    x = 566,263,143.94/27,497.76
  6. Step 6: Final answer
    x = 20,593.06

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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.