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Finding the Fourth Proportional to 22,271.70, 30,720.16 and 14,323.98

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Solution

The fourth proportional to 22,271.70, 30,720.16 and 14,323.98 is: 19,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.70 : 30,720.16 = 14,323.98 : x
  2. Step 2: Convert to fraction form
    22,271.70/30,720.16 = 14,323.98/x
  3. Step 3: Cross multiply
    22,271.70x = 30,720.16 × 14,323.98
  4. Step 4: Simplify right side
    22,271.70x = 440,034,957.44
  5. Step 5: Solve for x
    x = 440,034,957.44/22,271.70
  6. Step 6: Final answer
    x = 19,757.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.