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Finding the Fourth Proportional to 21,352.80, 32,029.20 and 9,688.80

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Solution

The fourth proportional to 21,352.80, 32,029.20 and 9,688.80 is: 14,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352.80 : 32,029.20 = 9,688.80 : x
  2. Step 2: Convert to fraction form
    21,352.80/32,029.20 = 9,688.80/x
  3. Step 3: Cross multiply
    21,352.80x = 32,029.20 × 9,688.80
  4. Step 4: Simplify right side
    21,352.80x = 310,324,512.96
  5. Step 5: Solve for x
    x = 310,324,512.96/21,352.80
  6. Step 6: Final answer
    x = 14,533.20

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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.