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Finding the Fourth Proportional to 13,574.93, 18,734.15 and 7,608.51

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Solution

The fourth proportional to 13,574.93, 18,734.15 and 7,608.51 is: 10,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.93 : 18,734.15 = 7,608.51 : x
  2. Step 2: Convert to fraction form
    13,574.93/18,734.15 = 7,608.51/x
  3. Step 3: Cross multiply
    13,574.93x = 18,734.15 × 7,608.51
  4. Step 4: Simplify right side
    13,574.93x = 142,538,929.57
  5. Step 5: Solve for x
    x = 142,538,929.57/13,574.93
  6. Step 6: Final answer
    x = 10,500.16

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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.