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Finding the Fourth Proportional to 21,353.20, 32,029.80 and 9,689.20

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Solution

The fourth proportional to 21,353.20, 32,029.80 and 9,689.20 is: 14,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,353.20 : 32,029.80 = 9,689.20 : x
  2. Step 2: Convert to fraction form
    21,353.20/32,029.80 = 9,689.20/x
  3. Step 3: Cross multiply
    21,353.20x = 32,029.80 × 9,689.20
  4. Step 4: Simplify right side
    21,353.20x = 310,343,138.16
  5. Step 5: Solve for x
    x = 310,343,138.16/21,353.20
  6. Step 6: Final answer
    x = 14,533.80

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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.