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Finding the Fourth Proportional to 13,459.14, 20,191.23 and 4,693.86

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Solution

The fourth proportional to 13,459.14, 20,191.23 and 4,693.86 is: 7,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.14 : 20,191.23 = 4,693.86 : x
  2. Step 2: Convert to fraction form
    13,459.14/20,191.23 = 4,693.86/x
  3. Step 3: Cross multiply
    13,459.14x = 20,191.23 × 4,693.86
  4. Step 4: Simplify right side
    13,459.14x = 94,774,806.85
  5. Step 5: Solve for x
    x = 94,774,806.85/13,459.14
  6. Step 6: Final answer
    x = 7,041.67

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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.