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Finding the Fourth Proportional to 14,852.64, 20,496.96 and 8,138.40

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Solution

The fourth proportional to 14,852.64, 20,496.96 and 8,138.40 is: 11,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.64 : 20,496.96 = 8,138.40 : x
  2. Step 2: Convert to fraction form
    14,852.64/20,496.96 = 8,138.40/x
  3. Step 3: Cross multiply
    14,852.64x = 20,496.96 × 8,138.40
  4. Step 4: Simplify right side
    14,852.64x = 166,812,459.26
  5. Step 5: Solve for x
    x = 166,812,459.26/14,852.64
  6. Step 6: Final answer
    x = 11,231.17

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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.