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Finding the Fourth Proportional to 19,196.64, 28,882.80 and 11,411.28

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Solution

The fourth proportional to 19,196.64, 28,882.80 and 11,411.28 is: 17,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,196.64 : 28,882.80 = 11,411.28 : x
  2. Step 2: Convert to fraction form
    19,196.64/28,882.80 = 11,411.28/x
  3. Step 3: Cross multiply
    19,196.64x = 28,882.80 × 11,411.28
  4. Step 4: Simplify right side
    19,196.64x = 329,589,717.98
  5. Step 5: Solve for x
    x = 329,589,717.98/19,196.64
  6. Step 6: Final answer
    x = 17,169.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.