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Finding the Fourth Proportional to 30,802.12, 46,198.38 and 8,613.16

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Solution

The fourth proportional to 30,802.12, 46,198.38 and 8,613.16 is: 12,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.12 : 46,198.38 = 8,613.16 : x
  2. Step 2: Convert to fraction form
    30,802.12/46,198.38 = 8,613.16/x
  3. Step 3: Cross multiply
    30,802.12x = 46,198.38 × 8,613.16
  4. Step 4: Simplify right side
    30,802.12x = 397,914,038.68
  5. Step 5: Solve for x
    x = 397,914,038.68/30,802.12
  6. Step 6: Final answer
    x = 12,918.40

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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.