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Finding the Fourth Proportional to 19,774.72, 27,288.96 and 10,822.06

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Solution

The fourth proportional to 19,774.72, 27,288.96 and 10,822.06 is: 14,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.72 : 27,288.96 = 10,822.06 : x
  2. Step 2: Convert to fraction form
    19,774.72/27,288.96 = 10,822.06/x
  3. Step 3: Cross multiply
    19,774.72x = 27,288.96 × 10,822.06
  4. Step 4: Simplify right side
    19,774.72x = 295,322,762.46
  5. Step 5: Solve for x
    x = 295,322,762.46/19,774.72
  6. Step 6: Final answer
    x = 14,934.36

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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.