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Finding the Fourth Proportional to 14,615.60, 20,169.24 and 9,023.60

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Solution

The fourth proportional to 14,615.60, 20,169.24 and 9,023.60 is: 12,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.60 : 20,169.24 = 9,023.60 : x
  2. Step 2: Convert to fraction form
    14,615.60/20,169.24 = 9,023.60/x
  3. Step 3: Cross multiply
    14,615.60x = 20,169.24 × 9,023.60
  4. Step 4: Simplify right side
    14,615.60x = 181,999,154.06
  5. Step 5: Solve for x
    x = 181,999,154.06/14,615.60
  6. Step 6: Final answer
    x = 12,452.39

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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.