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Finding the Fourth Proportional to 14,654.40, 21,990.60 and 6,338.40

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Solution

The fourth proportional to 14,654.40, 21,990.60 and 6,338.40 is: 9,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.40 : 21,990.60 = 6,338.40 : x
  2. Step 2: Convert to fraction form
    14,654.40/21,990.60 = 6,338.40/x
  3. Step 3: Cross multiply
    14,654.40x = 21,990.60 × 6,338.40
  4. Step 4: Simplify right side
    14,654.40x = 139,385,219.04
  5. Step 5: Solve for x
    x = 139,385,219.04/14,654.40
  6. Step 6: Final answer
    x = 9,511.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.