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Finding the Fourth Proportional to 23,376.66, 35,052 and 7,785.78

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Solution

The fourth proportional to 23,376.66, 35,052 and 7,785.78 is: 11,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.66 : 35,052 = 7,785.78 : x
  2. Step 2: Convert to fraction form
    23,376.66/35,052 = 7,785.78/x
  3. Step 3: Cross multiply
    23,376.66x = 35,052 × 7,785.78
  4. Step 4: Simplify right side
    23,376.66x = 272,907,160.56
  5. Step 5: Solve for x
    x = 272,907,160.56/23,376.66
  6. Step 6: Final answer
    x = 11,674.34

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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.