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Finding the Fourth Proportional to 16,459.82, 22,708.10 and 9,743

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Solution

The fourth proportional to 16,459.82, 22,708.10 and 9,743 is: 13,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.82 : 22,708.10 = 9,743 : x
  2. Step 2: Convert to fraction form
    16,459.82/22,708.10 = 9,743/x
  3. Step 3: Cross multiply
    16,459.82x = 22,708.10 × 9,743
  4. Step 4: Simplify right side
    16,459.82x = 221,245,018.30
  5. Step 5: Solve for x
    x = 221,245,018.30/16,459.82
  6. Step 6: Final answer
    x = 13,441.52

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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.