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Finding the Fourth Proportional to 22,509.42, 33,763.70 and 7,718.44

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Solution

The fourth proportional to 22,509.42, 33,763.70 and 7,718.44 is: 11,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.42 : 33,763.70 = 7,718.44 : x
  2. Step 2: Convert to fraction form
    22,509.42/33,763.70 = 7,718.44/x
  3. Step 3: Cross multiply
    22,509.42x = 33,763.70 × 7,718.44
  4. Step 4: Simplify right side
    22,509.42x = 260,603,092.63
  5. Step 5: Solve for x
    x = 260,603,092.63/22,509.42
  6. Step 6: Final answer
    x = 11,577.51

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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.