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Finding the Fourth Proportional to 13,685.67, 18,886.25 and 7,398.05

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Solution

The fourth proportional to 13,685.67, 18,886.25 and 7,398.05 is: 10,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.67 : 18,886.25 = 7,398.05 : x
  2. Step 2: Convert to fraction form
    13,685.67/18,886.25 = 7,398.05/x
  3. Step 3: Cross multiply
    13,685.67x = 18,886.25 × 7,398.05
  4. Step 4: Simplify right side
    13,685.67x = 139,721,290.39
  5. Step 5: Solve for x
    x = 139,721,290.39/13,685.67
  6. Step 6: Final answer
    x = 10,209.31

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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.