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Finding the Fourth Proportional to 21,634.08, 32,409.04 and 14,216.20

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Solution

The fourth proportional to 21,634.08, 32,409.04 and 14,216.20 is: 21,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.08 : 32,409.04 = 14,216.20 : x
  2. Step 2: Convert to fraction form
    21,634.08/32,409.04 = 14,216.20/x
  3. Step 3: Cross multiply
    21,634.08x = 32,409.04 × 14,216.20
  4. Step 4: Simplify right side
    21,634.08x = 460,733,394.45
  5. Step 5: Solve for x
    x = 460,733,394.45/21,634.08
  6. Step 6: Final answer
    x = 21,296.65

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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.