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Finding the Fourth Proportional to 16,467, 24,700.50 and 4,780.32

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Solution

The fourth proportional to 16,467, 24,700.50 and 4,780.32 is: 7,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467 : 24,700.50 = 4,780.32 : x
  2. Step 2: Convert to fraction form
    16,467/24,700.50 = 4,780.32/x
  3. Step 3: Cross multiply
    16,467x = 24,700.50 × 4,780.32
  4. Step 4: Simplify right side
    16,467x = 118,076,294.16
  5. Step 5: Solve for x
    x = 118,076,294.16/16,467
  6. Step 6: Final answer
    x = 7,170.48

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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.