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Finding the Fourth Proportional to 25,265.69, 37,898.63 and 7,735.45

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Solution

The fourth proportional to 25,265.69, 37,898.63 and 7,735.45 is: 11,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,265.69 : 37,898.63 = 7,735.45 : x
  2. Step 2: Convert to fraction form
    25,265.69/37,898.63 = 7,735.45/x
  3. Step 3: Cross multiply
    25,265.69x = 37,898.63 × 7,735.45
  4. Step 4: Simplify right side
    25,265.69x = 293,162,729.26
  5. Step 5: Solve for x
    x = 293,162,729.26/25,265.69
  6. Step 6: Final answer
    x = 11,603.20

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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.