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Finding the Fourth Proportional to 23,206.25, 34,811.89 and 7,405.75

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Solution

The fourth proportional to 23,206.25, 34,811.89 and 7,405.75 is: 11,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.25 : 34,811.89 = 7,405.75 : x
  2. Step 2: Convert to fraction form
    23,206.25/34,811.89 = 7,405.75/x
  3. Step 3: Cross multiply
    23,206.25x = 34,811.89 × 7,405.75
  4. Step 4: Simplify right side
    23,206.25x = 257,808,048.82
  5. Step 5: Solve for x
    x = 257,808,048.82/23,206.25
  6. Step 6: Final answer
    x = 11,109.42

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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.