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Finding the Fourth Proportional to 14,591.06, 20,134.82 and 8,303

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Solution

The fourth proportional to 14,591.06, 20,134.82 and 8,303 is: 11,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.06 : 20,134.82 = 8,303 : x
  2. Step 2: Convert to fraction form
    14,591.06/20,134.82 = 8,303/x
  3. Step 3: Cross multiply
    14,591.06x = 20,134.82 × 8,303
  4. Step 4: Simplify right side
    14,591.06x = 167,179,410.46
  5. Step 5: Solve for x
    x = 167,179,410.46/14,591.06
  6. Step 6: Final answer
    x = 11,457.66

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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.