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Finding the Fourth Proportional to 14,824.64, 20,457.93 and 8,110.15

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Solution

The fourth proportional to 14,824.64, 20,457.93 and 8,110.15 is: 11,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.64 : 20,457.93 = 8,110.15 : x
  2. Step 2: Convert to fraction form
    14,824.64/20,457.93 = 8,110.15/x
  3. Step 3: Cross multiply
    14,824.64x = 20,457.93 × 8,110.15
  4. Step 4: Simplify right side
    14,824.64x = 165,916,860.26
  5. Step 5: Solve for x
    x = 165,916,860.26/14,824.64
  6. Step 6: Final answer
    x = 11,191.96

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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.