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Finding the Fourth Proportional to 23,051.88, 34,582.14 and 7,467.48

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Solution

The fourth proportional to 23,051.88, 34,582.14 and 7,467.48 is: 11,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.88 : 34,582.14 = 7,467.48 : x
  2. Step 2: Convert to fraction form
    23,051.88/34,582.14 = 7,467.48/x
  3. Step 3: Cross multiply
    23,051.88x = 34,582.14 × 7,467.48
  4. Step 4: Simplify right side
    23,051.88x = 258,241,438.81
  5. Step 5: Solve for x
    x = 258,241,438.81/23,051.88
  6. Step 6: Final answer
    x = 11,202.62

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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.