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Finding the Fourth Proportional to 25,233.98, 37,858.37 and 7,465.11

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Solution

The fourth proportional to 25,233.98, 37,858.37 and 7,465.11 is: 11,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,233.98 : 37,858.37 = 7,465.11 : x
  2. Step 2: Convert to fraction form
    25,233.98/37,858.37 = 7,465.11/x
  3. Step 3: Cross multiply
    25,233.98x = 37,858.37 × 7,465.11
  4. Step 4: Simplify right side
    25,233.98x = 282,616,896.47
  5. Step 5: Solve for x
    x = 282,616,896.47/25,233.98
  6. Step 6: Final answer
    x = 11,199.85

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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.