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Finding the Fourth Proportional to 15,916, 23,863.44 and 7,597.30

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Solution

The fourth proportional to 15,916, 23,863.44 and 7,597.30 is: 11,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916 : 23,863.44 = 7,597.30 : x
  2. Step 2: Convert to fraction form
    15,916/23,863.44 = 7,597.30/x
  3. Step 3: Cross multiply
    15,916x = 23,863.44 × 7,597.30
  4. Step 4: Simplify right side
    15,916x = 181,297,712.71
  5. Step 5: Solve for x
    x = 181,297,712.71/15,916
  6. Step 6: Final answer
    x = 11,390.91

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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.