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Finding the Fourth Proportional to 21,525.84, 29,705.40 and 12,096

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Solution

The fourth proportional to 21,525.84, 29,705.40 and 12,096 is: 16,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525.84 : 29,705.40 = 12,096 : x
  2. Step 2: Convert to fraction form
    21,525.84/29,705.40 = 12,096/x
  3. Step 3: Cross multiply
    21,525.84x = 29,705.40 × 12,096
  4. Step 4: Simplify right side
    21,525.84x = 359,316,518.40
  5. Step 5: Solve for x
    x = 359,316,518.40/21,525.84
  6. Step 6: Final answer
    x = 16,692.33

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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.