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Finding the Fourth Proportional to 21,613.76, 32,411.45 and 8,464.04

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Solution

The fourth proportional to 21,613.76, 32,411.45 and 8,464.04 is: 12,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613.76 : 32,411.45 = 8,464.04 : x
  2. Step 2: Convert to fraction form
    21,613.76/32,411.45 = 8,464.04/x
  3. Step 3: Cross multiply
    21,613.76x = 32,411.45 × 8,464.04
  4. Step 4: Simplify right side
    21,613.76x = 274,331,668.36
  5. Step 5: Solve for x
    x = 274,331,668.36/21,613.76
  6. Step 6: Final answer
    x = 12,692.46

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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.