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Finding the Fourth Proportional to 16,605.60, 24,896 and 7,243.84

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Solution

The fourth proportional to 16,605.60, 24,896 and 7,243.84 is: 10,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,605.60 : 24,896 = 7,243.84 : x
  2. Step 2: Convert to fraction form
    16,605.60/24,896 = 7,243.84/x
  3. Step 3: Cross multiply
    16,605.60x = 24,896 × 7,243.84
  4. Step 4: Simplify right side
    16,605.60x = 180,342,640.64
  5. Step 5: Solve for x
    x = 180,342,640.64/16,605.60
  6. Step 6: Final answer
    x = 10,860.35

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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.