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Finding the Fourth Proportional to 25,805.34, 35,611.77 and 14,477.35

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Solution

The fourth proportional to 25,805.34, 35,611.77 and 14,477.35 is: 19,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805.34 : 35,611.77 = 14,477.35 : x
  2. Step 2: Convert to fraction form
    25,805.34/35,611.77 = 14,477.35/x
  3. Step 3: Cross multiply
    25,805.34x = 35,611.77 × 14,477.35
  4. Step 4: Simplify right side
    25,805.34x = 515,564,058.41
  5. Step 5: Solve for x
    x = 515,564,058.41/25,805.34
  6. Step 6: Final answer
    x = 19,978.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.