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Finding the Fourth Proportional to 12,824.60, 17,698.82 and 7,159.37

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Solution

The fourth proportional to 12,824.60, 17,698.82 and 7,159.37 is: 9,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.60 : 17,698.82 = 7,159.37 : x
  2. Step 2: Convert to fraction form
    12,824.60/17,698.82 = 7,159.37/x
  3. Step 3: Cross multiply
    12,824.60x = 17,698.82 × 7,159.37
  4. Step 4: Simplify right side
    12,824.60x = 126,712,276.65
  5. Step 5: Solve for x
    x = 126,712,276.65/12,824.60
  6. Step 6: Final answer
    x = 9,880.41

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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.