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Finding the Fourth Proportional to 12,690.32, 19,039.98 and 5,669.69

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Solution

The fourth proportional to 12,690.32, 19,039.98 and 5,669.69 is: 8,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.32 : 19,039.98 = 5,669.69 : x
  2. Step 2: Convert to fraction form
    12,690.32/19,039.98 = 5,669.69/x
  3. Step 3: Cross multiply
    12,690.32x = 19,039.98 × 5,669.69
  4. Step 4: Simplify right side
    12,690.32x = 107,950,689.01
  5. Step 5: Solve for x
    x = 107,950,689.01/12,690.32
  6. Step 6: Final answer
    x = 8,506.54

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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.