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Finding the Fourth Proportional to 13,006.07, 19,500.88 and 7,166.78

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Solution

The fourth proportional to 13,006.07, 19,500.88 and 7,166.78 is: 10,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.07 : 19,500.88 = 7,166.78 : x
  2. Step 2: Convert to fraction form
    13,006.07/19,500.88 = 7,166.78/x
  3. Step 3: Cross multiply
    13,006.07x = 19,500.88 × 7,166.78
  4. Step 4: Simplify right side
    13,006.07x = 139,758,516.77
  5. Step 5: Solve for x
    x = 139,758,516.77/13,006.07
  6. Step 6: Final answer
    x = 10,745.64

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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.