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Finding the Fourth Proportional to 23,447.64, 32,356.53 and 12,835.26

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Solution

The fourth proportional to 23,447.64, 32,356.53 and 12,835.26 is: 17,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447.64 : 32,356.53 = 12,835.26 : x
  2. Step 2: Convert to fraction form
    23,447.64/32,356.53 = 12,835.26/x
  3. Step 3: Cross multiply
    23,447.64x = 32,356.53 × 12,835.26
  4. Step 4: Simplify right side
    23,447.64x = 415,304,475.25
  5. Step 5: Solve for x
    x = 415,304,475.25/23,447.64
  6. Step 6: Final answer
    x = 17,711.99

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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.