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Finding the Fourth Proportional to 25,817.63, 38,726.44 and 7,349.63

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Solution

The fourth proportional to 25,817.63, 38,726.44 and 7,349.63 is: 11,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,817.63 : 38,726.44 = 7,349.63 : x
  2. Step 2: Convert to fraction form
    25,817.63/38,726.44 = 7,349.63/x
  3. Step 3: Cross multiply
    25,817.63x = 38,726.44 × 7,349.63
  4. Step 4: Simplify right side
    25,817.63x = 284,625,005.22
  5. Step 5: Solve for x
    x = 284,625,005.22/25,817.63
  6. Step 6: Final answer
    x = 11,024.44

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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.