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Finding the Fourth Proportional to 30,940.65, 46,403.54 and 14,284.69

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Solution

The fourth proportional to 30,940.65, 46,403.54 and 14,284.69 is: 21,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.65 : 46,403.54 = 14,284.69 : x
  2. Step 2: Convert to fraction form
    30,940.65/46,403.54 = 14,284.69/x
  3. Step 3: Cross multiply
    30,940.65x = 46,403.54 × 14,284.69
  4. Step 4: Simplify right side
    30,940.65x = 662,860,103.51
  5. Step 5: Solve for x
    x = 662,860,103.51/30,940.65
  6. Step 6: Final answer
    x = 21,423.60

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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.