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Finding the Fourth Proportional to 19,775.22, 27,289.29 and 10,822.77

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Solution

The fourth proportional to 19,775.22, 27,289.29 and 10,822.77 is: 14,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.22 : 27,289.29 = 10,822.77 : x
  2. Step 2: Convert to fraction form
    19,775.22/27,289.29 = 10,822.77/x
  3. Step 3: Cross multiply
    19,775.22x = 27,289.29 × 10,822.77
  4. Step 4: Simplify right side
    19,775.22x = 295,345,709.13
  5. Step 5: Solve for x
    x = 295,345,709.13/19,775.22
  6. Step 6: Final answer
    x = 14,935.14

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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.