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Finding the Fourth Proportional to 23,506.29, 35,213.30 and 13,624.80

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Solution

The fourth proportional to 23,506.29, 35,213.30 and 13,624.80 is: 20,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.29 : 35,213.30 = 13,624.80 : x
  2. Step 2: Convert to fraction form
    23,506.29/35,213.30 = 13,624.80/x
  3. Step 3: Cross multiply
    23,506.29x = 35,213.30 × 13,624.80
  4. Step 4: Simplify right side
    23,506.29x = 479,774,101.72
  5. Step 5: Solve for x
    x = 479,774,101.72/23,506.29
  6. Step 6: Final answer
    x = 20,410.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.