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Finding the Fourth Proportional to 20,218.24, 30,330.66 and 6,364

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Solution

The fourth proportional to 20,218.24, 30,330.66 and 6,364 is: 9,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.24 : 30,330.66 = 6,364 : x
  2. Step 2: Convert to fraction form
    20,218.24/30,330.66 = 6,364/x
  3. Step 3: Cross multiply
    20,218.24x = 30,330.66 × 6,364
  4. Step 4: Simplify right side
    20,218.24x = 193,024,320.24
  5. Step 5: Solve for x
    x = 193,024,320.24/20,218.24
  6. Step 6: Final answer
    x = 9,547.04

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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.