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Finding the Fourth Proportional to 10,007.69, 14,938.25 and 8,825.42

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Solution

The fourth proportional to 10,007.69, 14,938.25 and 8,825.42 is: 13,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.69 : 14,938.25 = 8,825.42 : x
  2. Step 2: Convert to fraction form
    10,007.69/14,938.25 = 8,825.42/x
  3. Step 3: Cross multiply
    10,007.69x = 14,938.25 × 8,825.42
  4. Step 4: Simplify right side
    10,007.69x = 131,836,315.03
  5. Step 5: Solve for x
    x = 131,836,315.03/10,007.69
  6. Step 6: Final answer
    x = 13,173.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.