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Finding the Fourth Proportional to 12,656.98, 17,466.27 and 6,991.64

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Solution

The fourth proportional to 12,656.98, 17,466.27 and 6,991.64 is: 9,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.98 : 17,466.27 = 6,991.64 : x
  2. Step 2: Convert to fraction form
    12,656.98/17,466.27 = 6,991.64/x
  3. Step 3: Cross multiply
    12,656.98x = 17,466.27 × 6,991.64
  4. Step 4: Simplify right side
    12,656.98x = 122,117,784.65
  5. Step 5: Solve for x
    x = 122,117,784.65/12,656.98
  6. Step 6: Final answer
    x = 9,648.26

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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.