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Finding the Fourth Proportional to 15,697.64, 23,546.48 and 9,858.35

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Solution

The fourth proportional to 15,697.64, 23,546.48 and 9,858.35 is: 14,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.64 : 23,546.48 = 9,858.35 : x
  2. Step 2: Convert to fraction form
    15,697.64/23,546.48 = 9,858.35/x
  3. Step 3: Cross multiply
    15,697.64x = 23,546.48 × 9,858.35
  4. Step 4: Simplify right side
    15,697.64x = 232,129,450.68
  5. Step 5: Solve for x
    x = 232,129,450.68/15,697.64
  6. Step 6: Final answer
    x = 14,787.54

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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.