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Finding the Fourth Proportional to 24,544.56, 36,815.94 and 7,905.48

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Solution

The fourth proportional to 24,544.56, 36,815.94 and 7,905.48 is: 11,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,544.56 : 36,815.94 = 7,905.48 : x
  2. Step 2: Convert to fraction form
    24,544.56/36,815.94 = 7,905.48/x
  3. Step 3: Cross multiply
    24,544.56x = 36,815.94 × 7,905.48
  4. Step 4: Simplify right side
    24,544.56x = 291,047,677.35
  5. Step 5: Solve for x
    x = 291,047,677.35/24,544.56
  6. Step 6: Final answer
    x = 11,857.93

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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.