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Finding the Fourth Proportional to 12,965.27, 17,886.80 and 9,570.41

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Solution

The fourth proportional to 12,965.27, 17,886.80 and 9,570.41 is: 13,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.27 : 17,886.80 = 9,570.41 : x
  2. Step 2: Convert to fraction form
    12,965.27/17,886.80 = 9,570.41/x
  3. Step 3: Cross multiply
    12,965.27x = 17,886.80 × 9,570.41
  4. Step 4: Simplify right side
    12,965.27x = 171,184,034.55
  5. Step 5: Solve for x
    x = 171,184,034.55/12,965.27
  6. Step 6: Final answer
    x = 13,203.27

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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.