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Finding the Fourth Proportional to 20,527.38, 28,334.82 and 12,032.16

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Solution

The fourth proportional to 20,527.38, 28,334.82 and 12,032.16 is: 16,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,527.38 : 28,334.82 = 12,032.16 : x
  2. Step 2: Convert to fraction form
    20,527.38/28,334.82 = 12,032.16/x
  3. Step 3: Cross multiply
    20,527.38x = 28,334.82 × 12,032.16
  4. Step 4: Simplify right side
    20,527.38x = 340,929,087.81
  5. Step 5: Solve for x
    x = 340,929,087.81/20,527.38
  6. Step 6: Final answer
    x = 16,608.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.