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Finding the Fourth Proportional to 16,604, 24,878.32 and 13,651.55

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Solution

The fourth proportional to 16,604, 24,878.32 and 13,651.55 is: 20,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,604 : 24,878.32 = 13,651.55 : x
  2. Step 2: Convert to fraction form
    16,604/24,878.32 = 13,651.55/x
  3. Step 3: Cross multiply
    16,604x = 24,878.32 × 13,651.55
  4. Step 4: Simplify right side
    16,604x = 339,627,629.40
  5. Step 5: Solve for x
    x = 339,627,629.40/16,604
  6. Step 6: Final answer
    x = 20,454.57

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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.