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Finding the Fourth Proportional to 12,719.34, 17,554.70 and 7,684.27

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Solution

The fourth proportional to 12,719.34, 17,554.70 and 7,684.27 is: 10,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719.34 : 17,554.70 = 7,684.27 : x
  2. Step 2: Convert to fraction form
    12,719.34/17,554.70 = 7,684.27/x
  3. Step 3: Cross multiply
    12,719.34x = 17,554.70 × 7,684.27
  4. Step 4: Simplify right side
    12,719.34x = 134,895,029.89
  5. Step 5: Solve for x
    x = 134,895,029.89/12,719.34
  6. Step 6: Final answer
    x = 10,605.51

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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.