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Finding the Fourth Proportional to 27,497.84, 37,946.76 and 14,922.32

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Solution

The fourth proportional to 27,497.84, 37,946.76 and 14,922.32 is: 20,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497.84 : 37,946.76 = 14,922.32 : x
  2. Step 2: Convert to fraction form
    27,497.84/37,946.76 = 14,922.32/x
  3. Step 3: Cross multiply
    27,497.84x = 37,946.76 × 14,922.32
  4. Step 4: Simplify right side
    27,497.84x = 566,253,695.68
  5. Step 5: Solve for x
    x = 566,253,695.68/27,497.84
  6. Step 6: Final answer
    x = 20,592.66

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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.