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Finding the Fourth Proportional to 13,143.93, 18,128.34 and 8,428.65

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Solution

The fourth proportional to 13,143.93, 18,128.34 and 8,428.65 is: 11,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.93 : 18,128.34 = 8,428.65 : x
  2. Step 2: Convert to fraction form
    13,143.93/18,128.34 = 8,428.65/x
  3. Step 3: Cross multiply
    13,143.93x = 18,128.34 × 8,428.65
  4. Step 4: Simplify right side
    13,143.93x = 152,797,432.94
  5. Step 5: Solve for x
    x = 152,797,432.94/13,143.93
  6. Step 6: Final answer
    x = 11,624.94

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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.