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Finding the Fourth Proportional to 14,336.90, 21,511.42 and 6,946.86

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Solution

The fourth proportional to 14,336.90, 21,511.42 and 6,946.86 is: 10,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,336.90 : 21,511.42 = 6,946.86 : x
  2. Step 2: Convert to fraction form
    14,336.90/21,511.42 = 6,946.86/x
  3. Step 3: Cross multiply
    14,336.90x = 21,511.42 × 6,946.86
  4. Step 4: Simplify right side
    14,336.90x = 149,436,823.14
  5. Step 5: Solve for x
    x = 149,436,823.14/14,336.90
  6. Step 6: Final answer
    x = 10,423.23

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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.