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Finding the Fourth Proportional to 12,922.02, 19,384.99 and 5,526.50

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Solution

The fourth proportional to 12,922.02, 19,384.99 and 5,526.50 is: 8,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.02 : 19,384.99 = 5,526.50 : x
  2. Step 2: Convert to fraction form
    12,922.02/19,384.99 = 5,526.50/x
  3. Step 3: Cross multiply
    12,922.02x = 19,384.99 × 5,526.50
  4. Step 4: Simplify right side
    12,922.02x = 107,131,147.24
  5. Step 5: Solve for x
    x = 107,131,147.24/12,922.02
  6. Step 6: Final answer
    x = 8,290.59

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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.