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Finding the Fourth Proportional to 14,563.60, 21,861.60 and 9,023.20

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Solution

The fourth proportional to 14,563.60, 21,861.60 and 9,023.20 is: 13,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.60 : 21,861.60 = 9,023.20 : x
  2. Step 2: Convert to fraction form
    14,563.60/21,861.60 = 9,023.20/x
  3. Step 3: Cross multiply
    14,563.60x = 21,861.60 × 9,023.20
  4. Step 4: Simplify right side
    14,563.60x = 197,261,589.12
  5. Step 5: Solve for x
    x = 197,261,589.12/14,563.60
  6. Step 6: Final answer
    x = 13,544.84

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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.