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Finding the Fourth Proportional to 16,457.69, 22,687.98 and 11,733.77

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Solution

The fourth proportional to 16,457.69, 22,687.98 and 11,733.77 is: 16,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.69 : 22,687.98 = 11,733.77 : x
  2. Step 2: Convert to fraction form
    16,457.69/22,687.98 = 11,733.77/x
  3. Step 3: Cross multiply
    16,457.69x = 22,687.98 × 11,733.77
  4. Step 4: Simplify right side
    16,457.69x = 266,215,539.08
  5. Step 5: Solve for x
    x = 266,215,539.08/16,457.69
  6. Step 6: Final answer
    x = 16,175.75

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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.