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Finding the Fourth Proportional to 13,074.56, 18,043 and 7,106.23

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Solution

The fourth proportional to 13,074.56, 18,043 and 7,106.23 is: 9,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.56 : 18,043 = 7,106.23 : x
  2. Step 2: Convert to fraction form
    13,074.56/18,043 = 7,106.23/x
  3. Step 3: Cross multiply
    13,074.56x = 18,043 × 7,106.23
  4. Step 4: Simplify right side
    13,074.56x = 128,217,707.89
  5. Step 5: Solve for x
    x = 128,217,707.89/13,074.56
  6. Step 6: Final answer
    x = 9,806.66

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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.