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Finding the Fourth Proportional to 13,543.61, 20,317.14 and 5,226

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Solution

The fourth proportional to 13,543.61, 20,317.14 and 5,226 is: 7,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.61 : 20,317.14 = 5,226 : x
  2. Step 2: Convert to fraction form
    13,543.61/20,317.14 = 5,226/x
  3. Step 3: Cross multiply
    13,543.61x = 20,317.14 × 5,226
  4. Step 4: Simplify right side
    13,543.61x = 106,177,373.64
  5. Step 5: Solve for x
    x = 106,177,373.64/13,543.61
  6. Step 6: Final answer
    x = 7,839.67

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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.