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Finding the Fourth Proportional to 22,048.57, 33,077.64 and 7,256.77

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Solution

The fourth proportional to 22,048.57, 33,077.64 and 7,256.77 is: 10,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.57 : 33,077.64 = 7,256.77 : x
  2. Step 2: Convert to fraction form
    22,048.57/33,077.64 = 7,256.77/x
  3. Step 3: Cross multiply
    22,048.57x = 33,077.64 × 7,256.77
  4. Step 4: Simplify right side
    22,048.57x = 240,036,825.62
  5. Step 5: Solve for x
    x = 240,036,825.62/22,048.57
  6. Step 6: Final answer
    x = 10,886.73

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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.