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Finding the Fourth Proportional to 23,441.27, 32,348.16 and 12,830.67

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Solution

The fourth proportional to 23,441.27, 32,348.16 and 12,830.67 is: 17,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,441.27 : 32,348.16 = 12,830.67 : x
  2. Step 2: Convert to fraction form
    23,441.27/32,348.16 = 12,830.67/x
  3. Step 3: Cross multiply
    23,441.27x = 32,348.16 × 12,830.67
  4. Step 4: Simplify right side
    23,441.27x = 415,048,566.07
  5. Step 5: Solve for x
    x = 415,048,566.07/23,441.27
  6. Step 6: Final answer
    x = 17,705.89

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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.