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Finding the Fourth Proportional to 14,873.20, 20,538.90 and 9,577.24

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Solution

The fourth proportional to 14,873.20, 20,538.90 and 9,577.24 is: 13,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,873.20 : 20,538.90 = 9,577.24 : x
  2. Step 2: Convert to fraction form
    14,873.20/20,538.90 = 9,577.24/x
  3. Step 3: Cross multiply
    14,873.20x = 20,538.90 × 9,577.24
  4. Step 4: Simplify right side
    14,873.20x = 196,705,974.64
  5. Step 5: Solve for x
    x = 196,705,974.64/14,873.20
  6. Step 6: Final answer
    x = 13,225.53

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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.