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Finding the Fourth Proportional to 27,497.42, 37,946.47 and 14,922.17

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Solution

The fourth proportional to 27,497.42, 37,946.47 and 14,922.17 is: 20,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497.42 : 37,946.47 = 14,922.17 : x
  2. Step 2: Convert to fraction form
    27,497.42/37,946.47 = 14,922.17/x
  3. Step 3: Cross multiply
    27,497.42x = 37,946.47 × 14,922.17
  4. Step 4: Simplify right side
    27,497.42x = 566,243,676.24
  5. Step 5: Solve for x
    x = 566,243,676.24/27,497.42
  6. Step 6: Final answer
    x = 20,592.61

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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.