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Finding the Fourth Proportional to 30,940.40, 46,403.17 and 14,284.44

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Solution

The fourth proportional to 30,940.40, 46,403.17 and 14,284.44 is: 21,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.40 : 46,403.17 = 14,284.44 : x
  2. Step 2: Convert to fraction form
    30,940.40/46,403.17 = 14,284.44/x
  3. Step 3: Cross multiply
    30,940.40x = 46,403.17 × 14,284.44
  4. Step 4: Simplify right side
    30,940.40x = 662,842,994.24
  5. Step 5: Solve for x
    x = 662,842,994.24/30,940.40
  6. Step 6: Final answer
    x = 21,423.22

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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.