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Finding the Fourth Proportional to 21,689.85, 32,519.05 and 14,652.27

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Solution

The fourth proportional to 21,689.85, 32,519.05 and 14,652.27 is: 21,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.85 : 32,519.05 = 14,652.27 : x
  2. Step 2: Convert to fraction form
    21,689.85/32,519.05 = 14,652.27/x
  3. Step 3: Cross multiply
    21,689.85x = 32,519.05 × 14,652.27
  4. Step 4: Simplify right side
    21,689.85x = 476,477,797.11
  5. Step 5: Solve for x
    x = 476,477,797.11/21,689.85
  6. Step 6: Final answer
    x = 21,967.78

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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.