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Finding the Fourth Proportional to 22,671.86, 33,984.36 and 16,416.36

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Solution

The fourth proportional to 22,671.86, 33,984.36 and 16,416.36 is: 24,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671.86 : 33,984.36 = 16,416.36 : x
  2. Step 2: Convert to fraction form
    22,671.86/33,984.36 = 16,416.36/x
  3. Step 3: Cross multiply
    22,671.86x = 33,984.36 × 16,416.36
  4. Step 4: Simplify right side
    22,671.86x = 557,899,488.13
  5. Step 5: Solve for x
    x = 557,899,488.13/22,671.86
  6. Step 6: Final answer
    x = 24,607.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.