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Finding the Fourth Proportional to 12,690.80, 17,537.40 and 9,541.52

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Solution

The fourth proportional to 12,690.80, 17,537.40 and 9,541.52 is: 13,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.80 : 17,537.40 = 9,541.52 : x
  2. Step 2: Convert to fraction form
    12,690.80/17,537.40 = 9,541.52/x
  3. Step 3: Cross multiply
    12,690.80x = 17,537.40 × 9,541.52
  4. Step 4: Simplify right side
    12,690.80x = 167,333,452.85
  5. Step 5: Solve for x
    x = 167,333,452.85/12,690.80
  6. Step 6: Final answer
    x = 13,185.41

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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.