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Finding the Fourth Proportional to 13,460.72, 20,116.80 and 9,958.16

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Solution

The fourth proportional to 13,460.72, 20,116.80 and 9,958.16 is: 14,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.72 : 20,116.80 = 9,958.16 : x
  2. Step 2: Convert to fraction form
    13,460.72/20,116.80 = 9,958.16/x
  3. Step 3: Cross multiply
    13,460.72x = 20,116.80 × 9,958.16
  4. Step 4: Simplify right side
    13,460.72x = 200,326,313.09
  5. Step 5: Solve for x
    x = 200,326,313.09/13,460.72
  6. Step 6: Final answer
    x = 14,882.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.