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Finding the Fourth Proportional to 14,523.16, 20,035.96 and 9,485.64

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Solution

The fourth proportional to 14,523.16, 20,035.96 and 9,485.64 is: 13,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.16 : 20,035.96 = 9,485.64 : x
  2. Step 2: Convert to fraction form
    14,523.16/20,035.96 = 9,485.64/x
  3. Step 3: Cross multiply
    14,523.16x = 20,035.96 × 9,485.64
  4. Step 4: Simplify right side
    14,523.16x = 190,053,903.61
  5. Step 5: Solve for x
    x = 190,053,903.61/14,523.16
  6. Step 6: Final answer
    x = 13,086.26

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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.