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Finding the Fourth Proportional to 12,950.46, 17,871.70 and 7,647.89

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Solution

The fourth proportional to 12,950.46, 17,871.70 and 7,647.89 is: 10,554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.46 : 17,871.70 = 7,647.89 : x
  2. Step 2: Convert to fraction form
    12,950.46/17,871.70 = 7,647.89/x
  3. Step 3: Cross multiply
    12,950.46x = 17,871.70 × 7,647.89
  4. Step 4: Simplify right side
    12,950.46x = 136,680,731.91
  5. Step 5: Solve for x
    x = 136,680,731.91/12,950.46
  6. Step 6: Final answer
    x = 10,554.13

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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.