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Finding the Fourth Proportional to 24,893.85, 37,329 and 9,087.90

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Solution

The fourth proportional to 24,893.85, 37,329 and 9,087.90 is: 13,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,893.85 : 37,329 = 9,087.90 : x
  2. Step 2: Convert to fraction form
    24,893.85/37,329 = 9,087.90/x
  3. Step 3: Cross multiply
    24,893.85x = 37,329 × 9,087.90
  4. Step 4: Simplify right side
    24,893.85x = 339,242,219.10
  5. Step 5: Solve for x
    x = 339,242,219.10/24,893.85
  6. Step 6: Final answer
    x = 13,627.55

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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.