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Finding the Fourth Proportional to 23,206, 34,814.94 and 7,623.76

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Solution

The fourth proportional to 23,206, 34,814.94 and 7,623.76 is: 11,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206 : 34,814.94 = 7,623.76 : x
  2. Step 2: Convert to fraction form
    23,206/34,814.94 = 7,623.76/x
  3. Step 3: Cross multiply
    23,206x = 34,814.94 × 7,623.76
  4. Step 4: Simplify right side
    23,206x = 265,420,746.97
  5. Step 5: Solve for x
    x = 265,420,746.97/23,206
  6. Step 6: Final answer
    x = 11,437.59

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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.