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Finding the Fourth Proportional to 12,697.56, 17,516.66 and 7,978.50

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Solution

The fourth proportional to 12,697.56, 17,516.66 and 7,978.50 is: 11,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.56 : 17,516.66 = 7,978.50 : x
  2. Step 2: Convert to fraction form
    12,697.56/17,516.66 = 7,978.50/x
  3. Step 3: Cross multiply
    12,697.56x = 17,516.66 × 7,978.50
  4. Step 4: Simplify right side
    12,697.56x = 139,756,631.92
  5. Step 5: Solve for x
    x = 139,756,631.92/12,697.56
  6. Step 6: Final answer
    x = 11,006.57

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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.