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Finding the Fourth Proportional to 15,806.15, 23,720.90 and 7,486.16

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Solution

The fourth proportional to 15,806.15, 23,720.90 and 7,486.16 is: 11,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.15 : 23,720.90 = 7,486.16 : x
  2. Step 2: Convert to fraction form
    15,806.15/23,720.90 = 7,486.16/x
  3. Step 3: Cross multiply
    15,806.15x = 23,720.90 × 7,486.16
  4. Step 4: Simplify right side
    15,806.15x = 177,578,296.71
  5. Step 5: Solve for x
    x = 177,578,296.71/15,806.15
  6. Step 6: Final answer
    x = 11,234.76

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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.