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Finding the Fourth Proportional to 13,384.47, 18,473.16 and 7,722.88

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Solution

The fourth proportional to 13,384.47, 18,473.16 and 7,722.88 is: 10,659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.47 : 18,473.16 = 7,722.88 : x
  2. Step 2: Convert to fraction form
    13,384.47/18,473.16 = 7,722.88/x
  3. Step 3: Cross multiply
    13,384.47x = 18,473.16 × 7,722.88
  4. Step 4: Simplify right side
    13,384.47x = 142,665,997.90
  5. Step 5: Solve for x
    x = 142,665,997.90/13,384.47
  6. Step 6: Final answer
    x = 10,659.07

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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.