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Finding the Fourth Proportional to 21,402.20, 32,103.30 and 9,738.20

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Solution

The fourth proportional to 21,402.20, 32,103.30 and 9,738.20 is: 14,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.20 : 32,103.30 = 9,738.20 : x
  2. Step 2: Convert to fraction form
    21,402.20/32,103.30 = 9,738.20/x
  3. Step 3: Cross multiply
    21,402.20x = 32,103.30 × 9,738.20
  4. Step 4: Simplify right side
    21,402.20x = 312,628,356.06
  5. Step 5: Solve for x
    x = 312,628,356.06/21,402.20
  6. Step 6: Final answer
    x = 14,607.30

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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.