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Finding the Fourth Proportional to 14,672.34, 20,242.85 and 8,298.18

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Solution

The fourth proportional to 14,672.34, 20,242.85 and 8,298.18 is: 11,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672.34 : 20,242.85 = 8,298.18 : x
  2. Step 2: Convert to fraction form
    14,672.34/20,242.85 = 8,298.18/x
  3. Step 3: Cross multiply
    14,672.34x = 20,242.85 × 8,298.18
  4. Step 4: Simplify right side
    14,672.34x = 167,978,771.52
  5. Step 5: Solve for x
    x = 167,978,771.52/14,672.34
  6. Step 6: Final answer
    x = 11,448.67

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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.