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Finding the Fourth Proportional to 22,751.94, 31,428.34 and 20,629.86

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Solution

The fourth proportional to 22,751.94, 31,428.34 and 20,629.86 is: 28,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751.94 : 31,428.34 = 20,629.86 : x
  2. Step 2: Convert to fraction form
    22,751.94/31,428.34 = 20,629.86/x
  3. Step 3: Cross multiply
    22,751.94x = 31,428.34 × 20,629.86
  4. Step 4: Simplify right side
    22,751.94x = 648,362,254.23
  5. Step 5: Solve for x
    x = 648,362,254.23/22,751.94
  6. Step 6: Final answer
    x = 28,497.01

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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.