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Finding the Fourth Proportional to 27,497.14, 37,946.08 and 14,921.89

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Solution

The fourth proportional to 27,497.14, 37,946.08 and 14,921.89 is: 20,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497.14 : 37,946.08 = 14,921.89 : x
  2. Step 2: Convert to fraction form
    27,497.14/37,946.08 = 14,921.89/x
  3. Step 3: Cross multiply
    27,497.14x = 37,946.08 × 14,921.89
  4. Step 4: Simplify right side
    27,497.14x = 566,227,194.39
  5. Step 5: Solve for x
    x = 566,227,194.39/27,497.14
  6. Step 6: Final answer
    x = 20,592.22

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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.