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Finding the Fourth Proportional to 14,784.96, 20,403.48 and 8,820.12

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Solution

The fourth proportional to 14,784.96, 20,403.48 and 8,820.12 is: 12,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.96 : 20,403.48 = 8,820.12 : x
  2. Step 2: Convert to fraction form
    14,784.96/20,403.48 = 8,820.12/x
  3. Step 3: Cross multiply
    14,784.96x = 20,403.48 × 8,820.12
  4. Step 4: Simplify right side
    14,784.96x = 179,961,142.02
  5. Step 5: Solve for x
    x = 179,961,142.02/14,784.96
  6. Step 6: Final answer
    x = 12,171.91

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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.