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Finding the Fourth Proportional to 19,967.94, 29,957.22 and 6,820.29

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Solution

The fourth proportional to 19,967.94, 29,957.22 and 6,820.29 is: 10,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967.94 : 29,957.22 = 6,820.29 : x
  2. Step 2: Convert to fraction form
    19,967.94/29,957.22 = 6,820.29/x
  3. Step 3: Cross multiply
    19,967.94x = 29,957.22 × 6,820.29
  4. Step 4: Simplify right side
    19,967.94x = 204,316,927.99
  5. Step 5: Solve for x
    x = 204,316,927.99/19,967.94
  6. Step 6: Final answer
    x = 10,232.25

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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.