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Finding the Fourth Proportional to 16,459.69, 22,690.74 and 11,735.77

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Solution

The fourth proportional to 16,459.69, 22,690.74 and 11,735.77 is: 16,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.69 : 22,690.74 = 11,735.77 : x
  2. Step 2: Convert to fraction form
    16,459.69/22,690.74 = 11,735.77/x
  3. Step 3: Cross multiply
    16,459.69x = 22,690.74 × 11,735.77
  4. Step 4: Simplify right side
    16,459.69x = 266,293,305.77
  5. Step 5: Solve for x
    x = 266,293,305.77/16,459.69
  6. Step 6: Final answer
    x = 16,178.51

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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.