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Finding the Fourth Proportional to 13,523.95, 18,656.49 and 9,536.32

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Solution

The fourth proportional to 13,523.95, 18,656.49 and 9,536.32 is: 13,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.95 : 18,656.49 = 9,536.32 : x
  2. Step 2: Convert to fraction form
    13,523.95/18,656.49 = 9,536.32/x
  3. Step 3: Cross multiply
    13,523.95x = 18,656.49 × 9,536.32
  4. Step 4: Simplify right side
    13,523.95x = 177,914,258.72
  5. Step 5: Solve for x
    x = 177,914,258.72/13,523.95
  6. Step 6: Final answer
    x = 13,155.50

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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.