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Finding the Fourth Proportional to 27,384.28, 37,790.28 and 14,809

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Solution

The fourth proportional to 27,384.28, 37,790.28 and 14,809 is: 20,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384.28 : 37,790.28 = 14,809 : x
  2. Step 2: Convert to fraction form
    27,384.28/37,790.28 = 14,809/x
  3. Step 3: Cross multiply
    27,384.28x = 37,790.28 × 14,809
  4. Step 4: Simplify right side
    27,384.28x = 559,636,256.52
  5. Step 5: Solve for x
    x = 559,636,256.52/27,384.28
  6. Step 6: Final answer
    x = 20,436.41

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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.