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Finding the Fourth Proportional to 13,538.64, 20,314.80 and 6,138.38

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Solution

The fourth proportional to 13,538.64, 20,314.80 and 6,138.38 is: 9,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.64 : 20,314.80 = 6,138.38 : x
  2. Step 2: Convert to fraction form
    13,538.64/20,314.80 = 6,138.38/x
  3. Step 3: Cross multiply
    13,538.64x = 20,314.80 × 6,138.38
  4. Step 4: Simplify right side
    13,538.64x = 124,700,012.81
  5. Step 5: Solve for x
    x = 124,700,012.81/13,538.64
  6. Step 6: Final answer
    x = 9,210.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.