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Finding the Fourth Proportional to 23,059.34, 31,822.20 and 13,505.18

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Solution

The fourth proportional to 23,059.34, 31,822.20 and 13,505.18 is: 18,637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,059.34 : 31,822.20 = 13,505.18 : x
  2. Step 2: Convert to fraction form
    23,059.34/31,822.20 = 13,505.18/x
  3. Step 3: Cross multiply
    23,059.34x = 31,822.20 × 13,505.18
  4. Step 4: Simplify right side
    23,059.34x = 429,764,539.00
  5. Step 5: Solve for x
    x = 429,764,539.00/23,059.34
  6. Step 6: Final answer
    x = 18,637.33

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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.