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Finding the Fourth Proportional to 23,474.64, 32,409 and 15,523.68

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Solution

The fourth proportional to 23,474.64, 32,409 and 15,523.68 is: 21,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.64 : 32,409 = 15,523.68 : x
  2. Step 2: Convert to fraction form
    23,474.64/32,409 = 15,523.68/x
  3. Step 3: Cross multiply
    23,474.64x = 32,409 × 15,523.68
  4. Step 4: Simplify right side
    23,474.64x = 503,106,945.12
  5. Step 5: Solve for x
    x = 503,106,945.12/23,474.64
  6. Step 6: Final answer
    x = 21,431.93

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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.