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Finding the Fourth Proportional to 12,821.42, 19,232.03 and 7,756.63

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Solution

The fourth proportional to 12,821.42, 19,232.03 and 7,756.63 is: 11,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.42 : 19,232.03 = 7,756.63 : x
  2. Step 2: Convert to fraction form
    12,821.42/19,232.03 = 7,756.63/x
  3. Step 3: Cross multiply
    12,821.42x = 19,232.03 × 7,756.63
  4. Step 4: Simplify right side
    12,821.42x = 149,175,712.17
  5. Step 5: Solve for x
    x = 149,175,712.17/12,821.42
  6. Step 6: Final answer
    x = 11,634.88

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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.