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Finding the Fourth Proportional to 13,074.69, 18,043.19 and 7,106.36

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Solution

The fourth proportional to 13,074.69, 18,043.19 and 7,106.36 is: 9,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.69 : 18,043.19 = 7,106.36 : x
  2. Step 2: Convert to fraction form
    13,074.69/18,043.19 = 7,106.36/x
  3. Step 3: Cross multiply
    13,074.69x = 18,043.19 × 7,106.36
  4. Step 4: Simplify right side
    13,074.69x = 128,221,392.76
  5. Step 5: Solve for x
    x = 128,221,392.76/13,074.69
  6. Step 6: Final answer
    x = 9,806.84

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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.