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Finding the Fourth Proportional to 13,659.84, 18,846.64 and 9,412.04

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Solution

The fourth proportional to 13,659.84, 18,846.64 and 9,412.04 is: 12,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,659.84 : 18,846.64 = 9,412.04 : x
  2. Step 2: Convert to fraction form
    13,659.84/18,846.64 = 9,412.04/x
  3. Step 3: Cross multiply
    13,659.84x = 18,846.64 × 9,412.04
  4. Step 4: Simplify right side
    13,659.84x = 177,385,329.55
  5. Step 5: Solve for x
    x = 177,385,329.55/13,659.84
  6. Step 6: Final answer
    x = 12,985.90

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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.