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Finding the Fourth Proportional to 14,709.64, 22,057.53 and 5,343.05

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Solution

The fourth proportional to 14,709.64, 22,057.53 and 5,343.05 is: 8,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.64 : 22,057.53 = 5,343.05 : x
  2. Step 2: Convert to fraction form
    14,709.64/22,057.53 = 5,343.05/x
  3. Step 3: Cross multiply
    14,709.64x = 22,057.53 × 5,343.05
  4. Step 4: Simplify right side
    14,709.64x = 117,854,485.67
  5. Step 5: Solve for x
    x = 117,854,485.67/14,709.64
  6. Step 6: Final answer
    x = 8,012.06

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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.