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Finding the Fourth Proportional to 12,652.36, 17,466.93 and 8,178.65

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Solution

The fourth proportional to 12,652.36, 17,466.93 and 8,178.65 is: 11,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.36 : 17,466.93 = 8,178.65 : x
  2. Step 2: Convert to fraction form
    12,652.36/17,466.93 = 8,178.65/x
  3. Step 3: Cross multiply
    12,652.36x = 17,466.93 × 8,178.65
  4. Step 4: Simplify right side
    12,652.36x = 142,855,950.71
  5. Step 5: Solve for x
    x = 142,855,950.71/12,652.36
  6. Step 6: Final answer
    x = 11,290.86

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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.