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Finding the Fourth Proportional to 30,668.09, 46,002.14 and 9,891.59

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Solution

The fourth proportional to 30,668.09, 46,002.14 and 9,891.59 is: 14,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668.09 : 46,002.14 = 9,891.59 : x
  2. Step 2: Convert to fraction form
    30,668.09/46,002.14 = 9,891.59/x
  3. Step 3: Cross multiply
    30,668.09x = 46,002.14 × 9,891.59
  4. Step 4: Simplify right side
    30,668.09x = 455,034,308.00
  5. Step 5: Solve for x
    x = 455,034,308.00/30,668.09
  6. Step 6: Final answer
    x = 14,837.39

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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.