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Finding the Fourth Proportional to 16,119.68, 22,242.24 and 9,046.40

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Solution

The fourth proportional to 16,119.68, 22,242.24 and 9,046.40 is: 12,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119.68 : 22,242.24 = 9,046.40 : x
  2. Step 2: Convert to fraction form
    16,119.68/22,242.24 = 9,046.40/x
  3. Step 3: Cross multiply
    16,119.68x = 22,242.24 × 9,046.40
  4. Step 4: Simplify right side
    16,119.68x = 201,212,199.94
  5. Step 5: Solve for x
    x = 201,212,199.94/16,119.68
  6. Step 6: Final answer
    x = 12,482.39

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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.