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Finding the Fourth Proportional to 20,215.12, 30,327.48 and 6,364

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Solution

The fourth proportional to 20,215.12, 30,327.48 and 6,364 is: 9,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215.12 : 30,327.48 = 6,364 : x
  2. Step 2: Convert to fraction form
    20,215.12/30,327.48 = 6,364/x
  3. Step 3: Cross multiply
    20,215.12x = 30,327.48 × 6,364
  4. Step 4: Simplify right side
    20,215.12x = 193,004,082.72
  5. Step 5: Solve for x
    x = 193,004,082.72/20,215.12
  6. Step 6: Final answer
    x = 9,547.51

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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.