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Finding the Fourth Proportional to 15,806.54, 23,709.81 and 4,119.76

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Solution

The fourth proportional to 15,806.54, 23,709.81 and 4,119.76 is: 6,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.54 : 23,709.81 = 4,119.76 : x
  2. Step 2: Convert to fraction form
    15,806.54/23,709.81 = 4,119.76/x
  3. Step 3: Cross multiply
    15,806.54x = 23,709.81 × 4,119.76
  4. Step 4: Simplify right side
    15,806.54x = 97,678,771.93
  5. Step 5: Solve for x
    x = 97,678,771.93/15,806.54
  6. Step 6: Final answer
    x = 6,179.64

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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.