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Finding the Fourth Proportional to 13,450.34, 18,562.16 and 7,482.12

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Solution

The fourth proportional to 13,450.34, 18,562.16 and 7,482.12 is: 10,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.34 : 18,562.16 = 7,482.12 : x
  2. Step 2: Convert to fraction form
    13,450.34/18,562.16 = 7,482.12/x
  3. Step 3: Cross multiply
    13,450.34x = 18,562.16 × 7,482.12
  4. Step 4: Simplify right side
    13,450.34x = 138,884,308.58
  5. Step 5: Solve for x
    x = 138,884,308.58/13,450.34
  6. Step 6: Final answer
    x = 10,325.71

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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.