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Finding the Fourth Proportional to 14,510, 20,026.24 and 8,226.02

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Solution

The fourth proportional to 14,510, 20,026.24 and 8,226.02 is: 11,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510 : 20,026.24 = 8,226.02 : x
  2. Step 2: Convert to fraction form
    14,510/20,026.24 = 8,226.02/x
  3. Step 3: Cross multiply
    14,510x = 20,026.24 × 8,226.02
  4. Step 4: Simplify right side
    14,510x = 164,736,250.76
  5. Step 5: Solve for x
    x = 164,736,250.76/14,510
  6. Step 6: Final answer
    x = 11,353.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.