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Finding the Fourth Proportional to 13,322.28, 18,384.64 and 7,353.94

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Solution

The fourth proportional to 13,322.28, 18,384.64 and 7,353.94 is: 10,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.28 : 18,384.64 = 7,353.94 : x
  2. Step 2: Convert to fraction form
    13,322.28/18,384.64 = 7,353.94/x
  3. Step 3: Cross multiply
    13,322.28x = 18,384.64 × 7,353.94
  4. Step 4: Simplify right side
    13,322.28x = 135,199,539.48
  5. Step 5: Solve for x
    x = 135,199,539.48/13,322.28
  6. Step 6: Final answer
    x = 10,148.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.