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Finding the Fourth Proportional to 22,534.04, 33,792.66 and 7,738.76

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Solution

The fourth proportional to 22,534.04, 33,792.66 and 7,738.76 is: 11,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.04 : 33,792.66 = 7,738.76 : x
  2. Step 2: Convert to fraction form
    22,534.04/33,792.66 = 7,738.76/x
  3. Step 3: Cross multiply
    22,534.04x = 33,792.66 × 7,738.76
  4. Step 4: Simplify right side
    22,534.04x = 261,513,285.50
  5. Step 5: Solve for x
    x = 261,513,285.50/22,534.04
  6. Step 6: Final answer
    x = 11,605.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.