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Finding the Fourth Proportional to 20,078.49, 27,721.32 and 12,911.63

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Solution

The fourth proportional to 20,078.49, 27,721.32 and 12,911.63 is: 17,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.49 : 27,721.32 = 12,911.63 : x
  2. Step 2: Convert to fraction form
    20,078.49/27,721.32 = 12,911.63/x
  3. Step 3: Cross multiply
    20,078.49x = 27,721.32 × 12,911.63
  4. Step 4: Simplify right side
    20,078.49x = 357,927,288.35
  5. Step 5: Solve for x
    x = 357,927,288.35/20,078.49
  6. Step 6: Final answer
    x = 17,826.40

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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.