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Finding the Fourth Proportional to 16,419.68, 22,660.08 and 9,709.24

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Solution

The fourth proportional to 16,419.68, 22,660.08 and 9,709.24 is: 13,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.68 : 22,660.08 = 9,709.24 : x
  2. Step 2: Convert to fraction form
    16,419.68/22,660.08 = 9,709.24/x
  3. Step 3: Cross multiply
    16,419.68x = 22,660.08 × 9,709.24
  4. Step 4: Simplify right side
    16,419.68x = 220,012,155.14
  5. Step 5: Solve for x
    x = 220,012,155.14/16,419.68
  6. Step 6: Final answer
    x = 13,399.30

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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.