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Finding the Fourth Proportional to 21,152.80, 31,729.20 and 8,005.60

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Solution

The fourth proportional to 21,152.80, 31,729.20 and 8,005.60 is: 12,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.80 : 31,729.20 = 8,005.60 : x
  2. Step 2: Convert to fraction form
    21,152.80/31,729.20 = 8,005.60/x
  3. Step 3: Cross multiply
    21,152.80x = 31,729.20 × 8,005.60
  4. Step 4: Simplify right side
    21,152.80x = 254,011,283.52
  5. Step 5: Solve for x
    x = 254,011,283.52/21,152.80
  6. Step 6: Final answer
    x = 12,008.40

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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.