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Finding the Fourth Proportional to 15,953.12, 23,930 and 4,266.32

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Solution

The fourth proportional to 15,953.12, 23,930 and 4,266.32 is: 6,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.12 : 23,930 = 4,266.32 : x
  2. Step 2: Convert to fraction form
    15,953.12/23,930 = 4,266.32/x
  3. Step 3: Cross multiply
    15,953.12x = 23,930 × 4,266.32
  4. Step 4: Simplify right side
    15,953.12x = 102,093,037.60
  5. Step 5: Solve for x
    x = 102,093,037.60/15,953.12
  6. Step 6: Final answer
    x = 6,399.57

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