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Finding the Fourth Proportional to 23,622.75, 32,599.50 and 13,012.16

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Solution

The fourth proportional to 23,622.75, 32,599.50 and 13,012.16 is: 17,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622.75 : 32,599.50 = 13,012.16 : x
  2. Step 2: Convert to fraction form
    23,622.75/32,599.50 = 13,012.16/x
  3. Step 3: Cross multiply
    23,622.75x = 32,599.50 × 13,012.16
  4. Step 4: Simplify right side
    23,622.75x = 424,189,698.13
  5. Step 5: Solve for x
    x = 424,189,698.13/23,622.75
  6. Step 6: Final answer
    x = 17,956.83

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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.