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Finding the Fourth Proportional to 13,384.53, 18,471.65 and 7,416.75

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Solution

The fourth proportional to 13,384.53, 18,471.65 and 7,416.75 is: 10,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.53 : 18,471.65 = 7,416.75 : x
  2. Step 2: Convert to fraction form
    13,384.53/18,471.65 = 7,416.75/x
  3. Step 3: Cross multiply
    13,384.53x = 18,471.65 × 7,416.75
  4. Step 4: Simplify right side
    13,384.53x = 136,999,610.14
  5. Step 5: Solve for x
    x = 136,999,610.14/13,384.53
  6. Step 6: Final answer
    x = 10,235.67

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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.