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Finding the Fourth Proportional to 15,915, 23,861.94 and 7,596.30

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Solution

The fourth proportional to 15,915, 23,861.94 and 7,596.30 is: 11,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915 : 23,861.94 = 7,596.30 : x
  2. Step 2: Convert to fraction form
    15,915/23,861.94 = 7,596.30/x
  3. Step 3: Cross multiply
    15,915x = 23,861.94 × 7,596.30
  4. Step 4: Simplify right side
    15,915x = 181,262,454.82
  5. Step 5: Solve for x
    x = 181,262,454.82/15,915
  6. Step 6: Final answer
    x = 11,389.41

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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.