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Finding the Fourth Proportional to 13,322.47, 18,384.91 and 7,354.14

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Solution

The fourth proportional to 13,322.47, 18,384.91 and 7,354.14 is: 10,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.47 : 18,384.91 = 7,354.14 : x
  2. Step 2: Convert to fraction form
    13,322.47/18,384.91 = 7,354.14/x
  3. Step 3: Cross multiply
    13,322.47x = 18,384.91 × 7,354.14
  4. Step 4: Simplify right side
    13,322.47x = 135,205,202.03
  5. Step 5: Solve for x
    x = 135,205,202.03/13,322.47
  6. Step 6: Final answer
    x = 10,148.66

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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.