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Finding the Fourth Proportional to 25,262.70, 37,895.88 and 7,730.26

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Solution

The fourth proportional to 25,262.70, 37,895.88 and 7,730.26 is: 11,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,262.70 : 37,895.88 = 7,730.26 : x
  2. Step 2: Convert to fraction form
    25,262.70/37,895.88 = 7,730.26/x
  3. Step 3: Cross multiply
    25,262.70x = 37,895.88 × 7,730.26
  4. Step 4: Simplify right side
    25,262.70x = 292,945,005.33
  5. Step 5: Solve for x
    x = 292,945,005.33/25,262.70
  6. Step 6: Final answer
    x = 11,595.95

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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.