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Finding the Fourth Proportional to 17,620.50, 24,314.06 and 9,660.63

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Solution

The fourth proportional to 17,620.50, 24,314.06 and 9,660.63 is: 13,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,620.50 : 24,314.06 = 9,660.63 : x
  2. Step 2: Convert to fraction form
    17,620.50/24,314.06 = 9,660.63/x
  3. Step 3: Cross multiply
    17,620.50x = 24,314.06 × 9,660.63
  4. Step 4: Simplify right side
    17,620.50x = 234,889,089.15
  5. Step 5: Solve for x
    x = 234,889,089.15/17,620.50
  6. Step 6: Final answer
    x = 13,330.44

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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.