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Finding the Fourth Proportional to 19,772.64, 27,286.32 and 10,820.22

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Solution

The fourth proportional to 19,772.64, 27,286.32 and 10,820.22 is: 14,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.64 : 27,286.32 = 10,820.22 : x
  2. Step 2: Convert to fraction form
    19,772.64/27,286.32 = 10,820.22/x
  3. Step 3: Cross multiply
    19,772.64x = 27,286.32 × 10,820.22
  4. Step 4: Simplify right side
    19,772.64x = 295,243,985.39
  5. Step 5: Solve for x
    x = 295,243,985.39/19,772.64
  6. Step 6: Final answer
    x = 14,931.95

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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.