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Finding the Fourth Proportional to 21,527.76, 32,261.57 and 10,431.50

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Solution

The fourth proportional to 21,527.76, 32,261.57 and 10,431.50 is: 15,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.76 : 32,261.57 = 10,431.50 : x
  2. Step 2: Convert to fraction form
    21,527.76/32,261.57 = 10,431.50/x
  3. Step 3: Cross multiply
    21,527.76x = 32,261.57 × 10,431.50
  4. Step 4: Simplify right side
    21,527.76x = 336,536,515.30
  5. Step 5: Solve for x
    x = 336,536,515.30/21,527.76
  6. Step 6: Final answer
    x = 15,632.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.