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Finding the Fourth Proportional to 14,283.57, 19,708.98 and 8,974.63

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Solution

The fourth proportional to 14,283.57, 19,708.98 and 8,974.63 is: 12,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.57 : 19,708.98 = 8,974.63 : x
  2. Step 2: Convert to fraction form
    14,283.57/19,708.98 = 8,974.63/x
  3. Step 3: Cross multiply
    14,283.57x = 19,708.98 × 8,974.63
  4. Step 4: Simplify right side
    14,283.57x = 176,880,704.63
  5. Step 5: Solve for x
    x = 176,880,704.63/14,283.57
  6. Step 6: Final answer
    x = 12,383.51

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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.