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Finding the Fourth Proportional to 14,733.96, 20,335 and 8,274.32

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Solution

The fourth proportional to 14,733.96, 20,335 and 8,274.32 is: 11,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733.96 : 20,335 = 8,274.32 : x
  2. Step 2: Convert to fraction form
    14,733.96/20,335 = 8,274.32/x
  3. Step 3: Cross multiply
    14,733.96x = 20,335 × 8,274.32
  4. Step 4: Simplify right side
    14,733.96x = 168,258,297.20
  5. Step 5: Solve for x
    x = 168,258,297.20/14,733.96
  6. Step 6: Final answer
    x = 11,419.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.