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Finding the Fourth Proportional to 15,051.26, 22,590.76 and 7,661

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Solution

The fourth proportional to 15,051.26, 22,590.76 and 7,661 is: 11,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,051.26 : 22,590.76 = 7,661 : x
  2. Step 2: Convert to fraction form
    15,051.26/22,590.76 = 7,661/x
  3. Step 3: Cross multiply
    15,051.26x = 22,590.76 × 7,661
  4. Step 4: Simplify right side
    15,051.26x = 173,067,812.36
  5. Step 5: Solve for x
    x = 173,067,812.36/15,051.26
  6. Step 6: Final answer
    x = 11,498.56

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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.