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Finding the Fourth Proportional to 13,824.80, 19,072.78 and 8,510.38

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Solution

The fourth proportional to 13,824.80, 19,072.78 and 8,510.38 is: 11,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.80 : 19,072.78 = 8,510.38 : x
  2. Step 2: Convert to fraction form
    13,824.80/19,072.78 = 8,510.38/x
  3. Step 3: Cross multiply
    13,824.80x = 19,072.78 × 8,510.38
  4. Step 4: Simplify right side
    13,824.80x = 162,316,605.46
  5. Step 5: Solve for x
    x = 162,316,605.46/13,824.80
  6. Step 6: Final answer
    x = 11,740.97

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Why These Related Problems?

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