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Finding the Fourth Proportional to 23,463.74, 35,198.55 and 7,670.36

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Solution

The fourth proportional to 23,463.74, 35,198.55 and 7,670.36 is: 11,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,463.74 : 35,198.55 = 7,670.36 : x
  2. Step 2: Convert to fraction form
    23,463.74/35,198.55 = 7,670.36/x
  3. Step 3: Cross multiply
    23,463.74x = 35,198.55 × 7,670.36
  4. Step 4: Simplify right side
    23,463.74x = 269,985,637.97
  5. Step 5: Solve for x
    x = 269,985,637.97/23,463.74
  6. Step 6: Final answer
    x = 11,506.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.