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Finding the Fourth Proportional to 14,577.20, 21,822.60 and 8,745.20

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Solution

The fourth proportional to 14,577.20, 21,822.60 and 8,745.20 is: 13,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.20 : 21,822.60 = 8,745.20 : x
  2. Step 2: Convert to fraction form
    14,577.20/21,822.60 = 8,745.20/x
  3. Step 3: Cross multiply
    14,577.20x = 21,822.60 × 8,745.20
  4. Step 4: Simplify right side
    14,577.20x = 190,843,001.52
  5. Step 5: Solve for x
    x = 190,843,001.52/14,577.20
  6. Step 6: Final answer
    x = 13,091.88

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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.