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Finding the Fourth Proportional to 12,596.80, 17,407.56 and 9,447.52

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Solution

The fourth proportional to 12,596.80, 17,407.56 and 9,447.52 is: 13,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.80 : 17,407.56 = 9,447.52 : x
  2. Step 2: Convert to fraction form
    12,596.80/17,407.56 = 9,447.52/x
  3. Step 3: Cross multiply
    12,596.80x = 17,407.56 × 9,447.52
  4. Step 4: Simplify right side
    12,596.80x = 164,458,271.25
  5. Step 5: Solve for x
    x = 164,458,271.25/12,596.80
  6. Step 6: Final answer
    x = 13,055.56

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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.