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Finding the Fourth Proportional to 15,424.25, 23,145.93 and 7,105.46

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Solution

The fourth proportional to 15,424.25, 23,145.93 and 7,105.46 is: 10,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424.25 : 23,145.93 = 7,105.46 : x
  2. Step 2: Convert to fraction form
    15,424.25/23,145.93 = 7,105.46/x
  3. Step 3: Cross multiply
    15,424.25x = 23,145.93 × 7,105.46
  4. Step 4: Simplify right side
    15,424.25x = 164,462,364.05
  5. Step 5: Solve for x
    x = 164,462,364.05/15,424.25
  6. Step 6: Final answer
    x = 10,662.59

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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.