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Finding the Fourth Proportional to 21,525.86, 29,703.98 and 11,965

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Solution

The fourth proportional to 21,525.86, 29,703.98 and 11,965 is: 16,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525.86 : 29,703.98 = 11,965 : x
  2. Step 2: Convert to fraction form
    21,525.86/29,703.98 = 11,965/x
  3. Step 3: Cross multiply
    21,525.86x = 29,703.98 × 11,965
  4. Step 4: Simplify right side
    21,525.86x = 355,408,120.70
  5. Step 5: Solve for x
    x = 355,408,120.70/21,525.86
  6. Step 6: Final answer
    x = 16,510.75

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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.