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Finding the Fourth Proportional to 19,673.50, 29,516.03 and 5,822.86

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Solution

The fourth proportional to 19,673.50, 29,516.03 and 5,822.86 is: 8,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.50 : 29,516.03 = 5,822.86 : x
  2. Step 2: Convert to fraction form
    19,673.50/29,516.03 = 5,822.86/x
  3. Step 3: Cross multiply
    19,673.50x = 29,516.03 × 5,822.86
  4. Step 4: Simplify right side
    19,673.50x = 171,867,710.45
  5. Step 5: Solve for x
    x = 171,867,710.45/19,673.50
  6. Step 6: Final answer
    x = 8,736.00

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Why These Related Problems?

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