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Finding the Fourth Proportional to 19,768.48, 27,277.52 and 12,695.84

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Solution

The fourth proportional to 19,768.48, 27,277.52 and 12,695.84 is: 17,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.48 : 27,277.52 = 12,695.84 : x
  2. Step 2: Convert to fraction form
    19,768.48/27,277.52 = 12,695.84/x
  3. Step 3: Cross multiply
    19,768.48x = 27,277.52 × 12,695.84
  4. Step 4: Simplify right side
    19,768.48x = 346,311,029.52
  5. Step 5: Solve for x
    x = 346,311,029.52/19,768.48
  6. Step 6: Final answer
    x = 17,518.34

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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.