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Finding the Fourth Proportional to 12,287.98, 16,946.98 and 10,383.13

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Solution

The fourth proportional to 12,287.98, 16,946.98 and 10,383.13 is: 14,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.98 : 16,946.98 = 10,383.13 : x
  2. Step 2: Convert to fraction form
    12,287.98/16,946.98 = 10,383.13/x
  3. Step 3: Cross multiply
    12,287.98x = 16,946.98 × 10,383.13
  4. Step 4: Simplify right side
    12,287.98x = 175,962,696.45
  5. Step 5: Solve for x
    x = 175,962,696.45/12,287.98
  6. Step 6: Final answer
    x = 14,319.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.