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Finding the Fourth Proportional to 23,743.30, 32,765.44 and 13,133.12

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Solution

The fourth proportional to 23,743.30, 32,765.44 and 13,133.12 is: 18,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,743.30 : 32,765.44 = 13,133.12 : x
  2. Step 2: Convert to fraction form
    23,743.30/32,765.44 = 13,133.12/x
  3. Step 3: Cross multiply
    23,743.30x = 32,765.44 × 13,133.12
  4. Step 4: Simplify right side
    23,743.30x = 430,312,455.37
  5. Step 5: Solve for x
    x = 430,312,455.37/23,743.30
  6. Step 6: Final answer
    x = 18,123.53

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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.