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Finding the Fourth Proportional to 23,380.30, 32,256.81 and 13,306.22

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Solution

The fourth proportional to 23,380.30, 32,256.81 and 13,306.22 is: 18,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,380.30 : 32,256.81 = 13,306.22 : x
  2. Step 2: Convert to fraction form
    23,380.30/32,256.81 = 13,306.22/x
  3. Step 3: Cross multiply
    23,380.30x = 32,256.81 × 13,306.22
  4. Step 4: Simplify right side
    23,380.30x = 429,216,210.36
  5. Step 5: Solve for x
    x = 429,216,210.36/23,380.30
  6. Step 6: Final answer
    x = 18,358.03

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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.