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Finding the Fourth Proportional to 21,827.30, 32,742.12 and 6,245.30

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Solution

The fourth proportional to 21,827.30, 32,742.12 and 6,245.30 is: 9,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827.30 : 32,742.12 = 6,245.30 : x
  2. Step 2: Convert to fraction form
    21,827.30/32,742.12 = 6,245.30/x
  3. Step 3: Cross multiply
    21,827.30x = 32,742.12 × 6,245.30
  4. Step 4: Simplify right side
    21,827.30x = 204,484,362.04
  5. Step 5: Solve for x
    x = 204,484,362.04/21,827.30
  6. Step 6: Final answer
    x = 9,368.28

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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.