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Finding the Fourth Proportional to 19,901.02, 29,846.74 and 5,857.23

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Solution

The fourth proportional to 19,901.02, 29,846.74 and 5,857.23 is: 8,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901.02 : 29,846.74 = 5,857.23 : x
  2. Step 2: Convert to fraction form
    19,901.02/29,846.74 = 5,857.23/x
  3. Step 3: Cross multiply
    19,901.02x = 29,846.74 × 5,857.23
  4. Step 4: Simplify right side
    19,901.02x = 174,819,232.50
  5. Step 5: Solve for x
    x = 174,819,232.50/19,901.02
  6. Step 6: Final answer
    x = 8,784.44

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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.