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Finding the Fourth Proportional to 16,084.30, 24,125.55 and 4,990.90

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Solution

The fourth proportional to 16,084.30, 24,125.55 and 4,990.90 is: 7,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.30 : 24,125.55 = 4,990.90 : x
  2. Step 2: Convert to fraction form
    16,084.30/24,125.55 = 4,990.90/x
  3. Step 3: Cross multiply
    16,084.30x = 24,125.55 × 4,990.90
  4. Step 4: Simplify right side
    16,084.30x = 120,408,207.50
  5. Step 5: Solve for x
    x = 120,408,207.50/16,084.30
  6. Step 6: Final answer
    x = 7,486.07

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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.