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Finding the Fourth Proportional to 19,683.18, 27,165.24 and 11,299.50

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Solution

The fourth proportional to 19,683.18, 27,165.24 and 11,299.50 is: 15,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.18 : 27,165.24 = 11,299.50 : x
  2. Step 2: Convert to fraction form
    19,683.18/27,165.24 = 11,299.50/x
  3. Step 3: Cross multiply
    19,683.18x = 27,165.24 × 11,299.50
  4. Step 4: Simplify right side
    19,683.18x = 306,953,629.38
  5. Step 5: Solve for x
    x = 306,953,629.38/19,683.18
  6. Step 6: Final answer
    x = 15,594.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.