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Finding the Fourth Proportional to 20,644.44, 30,941.64 and 9,528

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Solution

The fourth proportional to 20,644.44, 30,941.64 and 9,528 is: 14,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,644.44 : 30,941.64 = 9,528 : x
  2. Step 2: Convert to fraction form
    20,644.44/30,941.64 = 9,528/x
  3. Step 3: Cross multiply
    20,644.44x = 30,941.64 × 9,528
  4. Step 4: Simplify right side
    20,644.44x = 294,811,945.92
  5. Step 5: Solve for x
    x = 294,811,945.92/20,644.44
  6. Step 6: Final answer
    x = 14,280.45

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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.