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Finding the Fourth Proportional to 20,184.64, 30,275.68 and 9,662.16

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Solution

The fourth proportional to 20,184.64, 30,275.68 and 9,662.16 is: 14,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.64 : 30,275.68 = 9,662.16 : x
  2. Step 2: Convert to fraction form
    20,184.64/30,275.68 = 9,662.16/x
  3. Step 3: Cross multiply
    20,184.64x = 30,275.68 × 9,662.16
  4. Step 4: Simplify right side
    20,184.64x = 292,528,464.27
  5. Step 5: Solve for x
    x = 292,528,464.27/20,184.64
  6. Step 6: Final answer
    x = 14,492.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.