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Finding the Fourth Proportional to 16,419.12, 22,660.96 and 10,444.56

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Solution

The fourth proportional to 16,419.12, 22,660.96 and 10,444.56 is: 14,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.12 : 22,660.96 = 10,444.56 : x
  2. Step 2: Convert to fraction form
    16,419.12/22,660.96 = 10,444.56/x
  3. Step 3: Cross multiply
    16,419.12x = 22,660.96 × 10,444.56
  4. Step 4: Simplify right side
    16,419.12x = 236,683,756.38
  5. Step 5: Solve for x
    x = 236,683,756.38/16,419.12
  6. Step 6: Final answer
    x = 14,415.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.