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Finding the Fourth Proportional to 24,381.66, 36,558.81 and 7,738.59

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Solution

The fourth proportional to 24,381.66, 36,558.81 and 7,738.59 is: 11,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.66 : 36,558.81 = 7,738.59 : x
  2. Step 2: Convert to fraction form
    24,381.66/36,558.81 = 7,738.59/x
  3. Step 3: Cross multiply
    24,381.66x = 36,558.81 × 7,738.59
  4. Step 4: Simplify right side
    24,381.66x = 282,913,641.48
  5. Step 5: Solve for x
    x = 282,913,641.48/24,381.66
  6. Step 6: Final answer
    x = 11,603.54

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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.