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Finding the Fourth Proportional to 14,416.20, 19,894.50 and 8,451.40

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Solution

The fourth proportional to 14,416.20, 19,894.50 and 8,451.40 is: 11,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.20 : 19,894.50 = 8,451.40 : x
  2. Step 2: Convert to fraction form
    14,416.20/19,894.50 = 8,451.40/x
  3. Step 3: Cross multiply
    14,416.20x = 19,894.50 × 8,451.40
  4. Step 4: Simplify right side
    14,416.20x = 168,136,377.30
  5. Step 5: Solve for x
    x = 168,136,377.30/14,416.20
  6. Step 6: Final answer
    x = 11,663.02

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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.