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Finding the Fourth Proportional to 14,211.70, 21,323.69 and 7,630.20

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Solution

The fourth proportional to 14,211.70, 21,323.69 and 7,630.20 is: 11,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.70 : 21,323.69 = 7,630.20 : x
  2. Step 2: Convert to fraction form
    14,211.70/21,323.69 = 7,630.20/x
  3. Step 3: Cross multiply
    14,211.70x = 21,323.69 × 7,630.20
  4. Step 4: Simplify right side
    14,211.70x = 162,704,019.44
  5. Step 5: Solve for x
    x = 162,704,019.44/14,211.70
  6. Step 6: Final answer
    x = 11,448.60

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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.