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Finding the Fourth Proportional to 13,587.80, 18,741.35 and 8,282.84

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Solution

The fourth proportional to 13,587.80, 18,741.35 and 8,282.84 is: 11,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.80 : 18,741.35 = 8,282.84 : x
  2. Step 2: Convert to fraction form
    13,587.80/18,741.35 = 8,282.84/x
  3. Step 3: Cross multiply
    13,587.80x = 18,741.35 × 8,282.84
  4. Step 4: Simplify right side
    13,587.80x = 155,231,530.43
  5. Step 5: Solve for x
    x = 155,231,530.43/13,587.80
  6. Step 6: Final answer
    x = 11,424.34

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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.