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Finding the Fourth Proportional to 25,228.24, 37,829.12 and 7,456.56

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Solution

The fourth proportional to 25,228.24, 37,829.12 and 7,456.56 is: 11,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,228.24 : 37,829.12 = 7,456.56 : x
  2. Step 2: Convert to fraction form
    25,228.24/37,829.12 = 7,456.56/x
  3. Step 3: Cross multiply
    25,228.24x = 37,829.12 × 7,456.56
  4. Step 4: Simplify right side
    25,228.24x = 282,075,103.03
  5. Step 5: Solve for x
    x = 282,075,103.03/25,228.24
  6. Step 6: Final answer
    x = 11,180.93

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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.