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Finding the Fourth Proportional to 13,570, 18,726.60 and 7,682

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Solution

The fourth proportional to 13,570, 18,726.60 and 7,682 is: 10,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570 : 18,726.60 = 7,682 : x
  2. Step 2: Convert to fraction form
    13,570/18,726.60 = 7,682/x
  3. Step 3: Cross multiply
    13,570x = 18,726.60 × 7,682
  4. Step 4: Simplify right side
    13,570x = 143,857,741.20
  5. Step 5: Solve for x
    x = 143,857,741.20/13,570
  6. Step 6: Final answer
    x = 10,601.16

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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.