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Finding the Fourth Proportional to 21,830.76, 32,747.58 and 7,989.48

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Solution

The fourth proportional to 21,830.76, 32,747.58 and 7,989.48 is: 11,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.76 : 32,747.58 = 7,989.48 : x
  2. Step 2: Convert to fraction form
    21,830.76/32,747.58 = 7,989.48/x
  3. Step 3: Cross multiply
    21,830.76x = 32,747.58 × 7,989.48
  4. Step 4: Simplify right side
    21,830.76x = 261,636,135.46
  5. Step 5: Solve for x
    x = 261,636,135.46/21,830.76
  6. Step 6: Final answer
    x = 11,984.75

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1.5x scale

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.