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Finding the Fourth Proportional to 20,694.08, 28,556.16 and 14,420

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Solution

The fourth proportional to 20,694.08, 28,556.16 and 14,420 is: 19,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.08 : 28,556.16 = 14,420 : x
  2. Step 2: Convert to fraction form
    20,694.08/28,556.16 = 14,420/x
  3. Step 3: Cross multiply
    20,694.08x = 28,556.16 × 14,420
  4. Step 4: Simplify right side
    20,694.08x = 411,779,827.20
  5. Step 5: Solve for x
    x = 411,779,827.20/20,694.08
  6. Step 6: Final answer
    x = 19,898.44

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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.