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Finding the Fourth Proportional to 13,407.14, 18,500.36 and 7,437.32

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Solution

The fourth proportional to 13,407.14, 18,500.36 and 7,437.32 is: 10,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.14 : 18,500.36 = 7,437.32 : x
  2. Step 2: Convert to fraction form
    13,407.14/18,500.36 = 7,437.32/x
  3. Step 3: Cross multiply
    13,407.14x = 18,500.36 × 7,437.32
  4. Step 4: Simplify right side
    13,407.14x = 137,593,097.44
  5. Step 5: Solve for x
    x = 137,593,097.44/13,407.14
  6. Step 6: Final answer
    x = 10,262.67

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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.