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Finding the Fourth Proportional to 21,622.88, 32,412 and 7,570.64

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Solution

The fourth proportional to 21,622.88, 32,412 and 7,570.64 is: 11,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.88 : 32,412 = 7,570.64 : x
  2. Step 2: Convert to fraction form
    21,622.88/32,412 = 7,570.64/x
  3. Step 3: Cross multiply
    21,622.88x = 32,412 × 7,570.64
  4. Step 4: Simplify right side
    21,622.88x = 245,379,583.68
  5. Step 5: Solve for x
    x = 245,379,583.68/21,622.88
  6. Step 6: Final answer
    x = 11,348.15

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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.