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Finding the Fourth Proportional to 14,733.38, 20,332.14 and 8,019.02

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Solution

The fourth proportional to 14,733.38, 20,332.14 and 8,019.02 is: 11,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733.38 : 20,332.14 = 8,019.02 : x
  2. Step 2: Convert to fraction form
    14,733.38/20,332.14 = 8,019.02/x
  3. Step 3: Cross multiply
    14,733.38x = 20,332.14 × 8,019.02
  4. Step 4: Simplify right side
    14,733.38x = 163,043,837.30
  5. Step 5: Solve for x
    x = 163,043,837.30/14,733.38
  6. Step 6: Final answer
    x = 11,066.29

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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.