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Finding the Fourth Proportional to 14,009.20, 21,013.80 and 11,546.80

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Solution

The fourth proportional to 14,009.20, 21,013.80 and 11,546.80 is: 17,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.20 : 21,013.80 = 11,546.80 : x
  2. Step 2: Convert to fraction form
    14,009.20/21,013.80 = 11,546.80/x
  3. Step 3: Cross multiply
    14,009.20x = 21,013.80 × 11,546.80
  4. Step 4: Simplify right side
    14,009.20x = 242,642,145.84
  5. Step 5: Solve for x
    x = 242,642,145.84/14,009.20
  6. Step 6: Final answer
    x = 17,320.20

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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.