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Finding the Fourth Proportional to 14,977.44, 20,662.83 and 9,670.32

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Solution

The fourth proportional to 14,977.44, 20,662.83 and 9,670.32 is: 13,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.44 : 20,662.83 = 9,670.32 : x
  2. Step 2: Convert to fraction form
    14,977.44/20,662.83 = 9,670.32/x
  3. Step 3: Cross multiply
    14,977.44x = 20,662.83 × 9,670.32
  4. Step 4: Simplify right side
    14,977.44x = 199,816,178.21
  5. Step 5: Solve for x
    x = 199,816,178.21/14,977.44
  6. Step 6: Final answer
    x = 13,341.14

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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.