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Finding the Fourth Proportional to 24,338.56, 36,509.60 and 6,809.60

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Solution

The fourth proportional to 24,338.56, 36,509.60 and 6,809.60 is: 10,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338.56 : 36,509.60 = 6,809.60 : x
  2. Step 2: Convert to fraction form
    24,338.56/36,509.60 = 6,809.60/x
  3. Step 3: Cross multiply
    24,338.56x = 36,509.60 × 6,809.60
  4. Step 4: Simplify right side
    24,338.56x = 248,615,772.16
  5. Step 5: Solve for x
    x = 248,615,772.16/24,338.56
  6. Step 6: Final answer
    x = 10,214.89

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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.