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Finding the Fourth Proportional to 13,074.51, 18,042.78 and 7,106.19

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Solution

The fourth proportional to 13,074.51, 18,042.78 and 7,106.19 is: 9,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.51 : 18,042.78 = 7,106.19 : x
  2. Step 2: Convert to fraction form
    13,074.51/18,042.78 = 7,106.19/x
  3. Step 3: Cross multiply
    13,074.51x = 18,042.78 × 7,106.19
  4. Step 4: Simplify right side
    13,074.51x = 128,215,422.81
  5. Step 5: Solve for x
    x = 128,215,422.81/13,074.51
  6. Step 6: Final answer
    x = 9,806.52

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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.