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Finding the Fourth Proportional to 25,195.51, 37,782.33 and 7,661.23

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Solution

The fourth proportional to 25,195.51, 37,782.33 and 7,661.23 is: 11,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,195.51 : 37,782.33 = 7,661.23 : x
  2. Step 2: Convert to fraction form
    25,195.51/37,782.33 = 7,661.23/x
  3. Step 3: Cross multiply
    25,195.51x = 37,782.33 × 7,661.23
  4. Step 4: Simplify right side
    25,195.51x = 289,459,120.07
  5. Step 5: Solve for x
    x = 289,459,120.07/25,195.51
  6. Step 6: Final answer
    x = 11,488.52

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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.