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Finding the Fourth Proportional to 16,301.68, 22,489.60 and 9,923.14

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Solution

The fourth proportional to 16,301.68, 22,489.60 and 9,923.14 is: 13,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.68 : 22,489.60 = 9,923.14 : x
  2. Step 2: Convert to fraction form
    16,301.68/22,489.60 = 9,923.14/x
  3. Step 3: Cross multiply
    16,301.68x = 22,489.60 × 9,923.14
  4. Step 4: Simplify right side
    16,301.68x = 223,167,449.34
  5. Step 5: Solve for x
    x = 223,167,449.34/16,301.68
  6. Step 6: Final answer
    x = 13,689.84

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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.