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Finding the Fourth Proportional to 14,543.74, 21,797.15 and 7,522.44

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Solution

The fourth proportional to 14,543.74, 21,797.15 and 7,522.44 is: 11,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.74 : 21,797.15 = 7,522.44 : x
  2. Step 2: Convert to fraction form
    14,543.74/21,797.15 = 7,522.44/x
  3. Step 3: Cross multiply
    14,543.74x = 21,797.15 × 7,522.44
  4. Step 4: Simplify right side
    14,543.74x = 163,967,737.31
  5. Step 5: Solve for x
    x = 163,967,737.31/14,543.74
  6. Step 6: Final answer
    x = 11,274.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.