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Finding the Fourth Proportional to 14,730.23, 20,321.12 and 9,948.64

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Solution

The fourth proportional to 14,730.23, 20,321.12 and 9,948.64 is: 13,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730.23 : 20,321.12 = 9,948.64 : x
  2. Step 2: Convert to fraction form
    14,730.23/20,321.12 = 9,948.64/x
  3. Step 3: Cross multiply
    14,730.23x = 20,321.12 × 9,948.64
  4. Step 4: Simplify right side
    14,730.23x = 202,167,507.28
  5. Step 5: Solve for x
    x = 202,167,507.28/14,730.23
  6. Step 6: Final answer
    x = 13,724.67

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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.