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Finding the Fourth Proportional to 23,334, 32,199.75 and 13,261.11

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Solution

The fourth proportional to 23,334, 32,199.75 and 13,261.11 is: 18,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,334 : 32,199.75 = 13,261.11 : x
  2. Step 2: Convert to fraction form
    23,334/32,199.75 = 13,261.11/x
  3. Step 3: Cross multiply
    23,334x = 32,199.75 × 13,261.11
  4. Step 4: Simplify right side
    23,334x = 427,004,426.72
  5. Step 5: Solve for x
    x = 427,004,426.72/23,334
  6. Step 6: Final answer
    x = 18,299.67

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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.