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Finding the Fourth Proportional to 23,835.81, 32,891.90 and 13,225.42

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Solution

The fourth proportional to 23,835.81, 32,891.90 and 13,225.42 is: 18,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.81 : 32,891.90 = 13,225.42 : x
  2. Step 2: Convert to fraction form
    23,835.81/32,891.90 = 13,225.42/x
  3. Step 3: Cross multiply
    23,835.81x = 32,891.90 × 13,225.42
  4. Step 4: Simplify right side
    23,835.81x = 435,009,043.74
  5. Step 5: Solve for x
    x = 435,009,043.74/23,835.81
  6. Step 6: Final answer
    x = 18,250.23

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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.