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Finding the Fourth Proportional to 14,546.40, 21,800.40 and 12,895.20

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Solution

The fourth proportional to 14,546.40, 21,800.40 and 12,895.20 is: 19,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.40 : 21,800.40 = 12,895.20 : x
  2. Step 2: Convert to fraction form
    14,546.40/21,800.40 = 12,895.20/x
  3. Step 3: Cross multiply
    14,546.40x = 21,800.40 × 12,895.20
  4. Step 4: Simplify right side
    14,546.40x = 281,120,518.08
  5. Step 5: Solve for x
    x = 281,120,518.08/14,546.40
  6. Step 6: Final answer
    x = 19,325.78

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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.