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Finding the Fourth Proportional to 19,718.02, 29,577.29 and 5,678.27

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Solution

The fourth proportional to 19,718.02, 29,577.29 and 5,678.27 is: 8,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,718.02 : 29,577.29 = 5,678.27 : x
  2. Step 2: Convert to fraction form
    19,718.02/29,577.29 = 5,678.27/x
  3. Step 3: Cross multiply
    19,718.02x = 29,577.29 × 5,678.27
  4. Step 4: Simplify right side
    19,718.02x = 167,947,939.50
  5. Step 5: Solve for x
    x = 167,947,939.50/19,718.02
  6. Step 6: Final answer
    x = 8,517.48

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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.