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Finding the Fourth Proportional to 14,838.26, 20,478.42 and 9,460.88

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Solution

The fourth proportional to 14,838.26, 20,478.42 and 9,460.88 is: 13,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.26 : 20,478.42 = 9,460.88 : x
  2. Step 2: Convert to fraction form
    14,838.26/20,478.42 = 9,460.88/x
  3. Step 3: Cross multiply
    14,838.26x = 20,478.42 × 9,460.88
  4. Step 4: Simplify right side
    14,838.26x = 193,743,874.21
  5. Step 5: Solve for x
    x = 193,743,874.21/14,838.26
  6. Step 6: Final answer
    x = 13,057.05

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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.