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Finding the Fourth Proportional to 12,688.50, 17,499.39 and 7,651.62

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Solution

The fourth proportional to 12,688.50, 17,499.39 and 7,651.62 is: 10,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.50 : 17,499.39 = 7,651.62 : x
  2. Step 2: Convert to fraction form
    12,688.50/17,499.39 = 7,651.62/x
  3. Step 3: Cross multiply
    12,688.50x = 17,499.39 × 7,651.62
  4. Step 4: Simplify right side
    12,688.50x = 133,898,682.51
  5. Step 5: Solve for x
    x = 133,898,682.51/12,688.50
  6. Step 6: Final answer
    x = 10,552.76

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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.