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Finding the Fourth Proportional to 13,007.40, 17,945.38 and 8,290.60

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Solution

The fourth proportional to 13,007.40, 17,945.38 and 8,290.60 is: 11,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.40 : 17,945.38 = 8,290.60 : x
  2. Step 2: Convert to fraction form
    13,007.40/17,945.38 = 8,290.60/x
  3. Step 3: Cross multiply
    13,007.40x = 17,945.38 × 8,290.60
  4. Step 4: Simplify right side
    13,007.40x = 148,777,967.43
  5. Step 5: Solve for x
    x = 148,777,967.43/13,007.40
  6. Step 6: Final answer
    x = 11,437.95

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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.