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Finding the Fourth Proportional to 25,596.44, 38,370 and 13,122.32

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Solution

The fourth proportional to 25,596.44, 38,370 and 13,122.32 is: 19,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.44 : 38,370 = 13,122.32 : x
  2. Step 2: Convert to fraction form
    25,596.44/38,370 = 13,122.32/x
  3. Step 3: Cross multiply
    25,596.44x = 38,370 × 13,122.32
  4. Step 4: Simplify right side
    25,596.44x = 503,503,418.40
  5. Step 5: Solve for x
    x = 503,503,418.40/25,596.44
  6. Step 6: Final answer
    x = 19,670.84

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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.