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Finding the Fourth Proportional to 14,704.16, 20,286.64 and 9,402.08

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Solution

The fourth proportional to 14,704.16, 20,286.64 and 9,402.08 is: 12,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.16 : 20,286.64 = 9,402.08 : x
  2. Step 2: Convert to fraction form
    14,704.16/20,286.64 = 9,402.08/x
  3. Step 3: Cross multiply
    14,704.16x = 20,286.64 × 9,402.08
  4. Step 4: Simplify right side
    14,704.16x = 190,736,612.21
  5. Step 5: Solve for x
    x = 190,736,612.21/14,704.16
  6. Step 6: Final answer
    x = 12,971.61

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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.