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Finding the Fourth Proportional to 14,209.95, 21,306.34 and 5,662.71

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Solution

The fourth proportional to 14,209.95, 21,306.34 and 5,662.71 is: 8,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.95 : 21,306.34 = 5,662.71 : x
  2. Step 2: Convert to fraction form
    14,209.95/21,306.34 = 5,662.71/x
  3. Step 3: Cross multiply
    14,209.95x = 21,306.34 × 5,662.71
  4. Step 4: Simplify right side
    14,209.95x = 120,651,519.91
  5. Step 5: Solve for x
    x = 120,651,519.91/14,209.95
  6. Step 6: Final answer
    x = 8,490.64

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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.