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Finding the Fourth Proportional to 15,144.17, 20,898.81 and 8,429.67

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Solution

The fourth proportional to 15,144.17, 20,898.81 and 8,429.67 is: 11,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144.17 : 20,898.81 = 8,429.67 : x
  2. Step 2: Convert to fraction form
    15,144.17/20,898.81 = 8,429.67/x
  3. Step 3: Cross multiply
    15,144.17x = 20,898.81 × 8,429.67
  4. Step 4: Simplify right side
    15,144.17x = 176,170,071.69
  5. Step 5: Solve for x
    x = 176,170,071.69/15,144.17
  6. Step 6: Final answer
    x = 11,632.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.