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Finding the Fourth Proportional to 19,775.21, 27,289.95 and 12,219.81

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Solution

The fourth proportional to 19,775.21, 27,289.95 and 12,219.81 is: 16,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.21 : 27,289.95 = 12,219.81 : x
  2. Step 2: Convert to fraction form
    19,775.21/27,289.95 = 12,219.81/x
  3. Step 3: Cross multiply
    19,775.21x = 27,289.95 × 12,219.81
  4. Step 4: Simplify right side
    19,775.21x = 333,478,009.25
  5. Step 5: Solve for x
    x = 333,478,009.25/19,775.21
  6. Step 6: Final answer
    x = 16,863.44

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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.