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Finding the Fourth Proportional to 13,157.67, 18,155.84 and 8,448.33

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Solution

The fourth proportional to 13,157.67, 18,155.84 and 8,448.33 is: 11,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.67 : 18,155.84 = 8,448.33 : x
  2. Step 2: Convert to fraction form
    13,157.67/18,155.84 = 8,448.33/x
  3. Step 3: Cross multiply
    13,157.67x = 18,155.84 × 8,448.33
  4. Step 4: Simplify right side
    13,157.67x = 153,386,485.51
  5. Step 5: Solve for x
    x = 153,386,485.51/13,157.67
  6. Step 6: Final answer
    x = 11,657.57

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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.