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Finding the Fourth Proportional to 14,316.64, 21,447.12 and 8,057.56

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Solution

The fourth proportional to 14,316.64, 21,447.12 and 8,057.56 is: 12,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316.64 : 21,447.12 = 8,057.56 : x
  2. Step 2: Convert to fraction form
    14,316.64/21,447.12 = 8,057.56/x
  3. Step 3: Cross multiply
    14,316.64x = 21,447.12 × 8,057.56
  4. Step 4: Simplify right side
    14,316.64x = 172,811,456.23
  5. Step 5: Solve for x
    x = 172,811,456.23/14,316.64
  6. Step 6: Final answer
    x = 12,070.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.