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Finding the Fourth Proportional to 21,527.28, 32,294 and 10,424.84

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Solution

The fourth proportional to 21,527.28, 32,294 and 10,424.84 is: 15,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.28 : 32,294 = 10,424.84 : x
  2. Step 2: Convert to fraction form
    21,527.28/32,294 = 10,424.84/x
  3. Step 3: Cross multiply
    21,527.28x = 32,294 × 10,424.84
  4. Step 4: Simplify right side
    21,527.28x = 336,659,782.96
  5. Step 5: Solve for x
    x = 336,659,782.96/21,527.28
  6. Step 6: Final answer
    x = 15,638.75

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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.