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Finding the Fourth Proportional to 12,357.64, 18,532.86 and 4,568.68

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Solution

The fourth proportional to 12,357.64, 18,532.86 and 4,568.68 is: 6,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.64 : 18,532.86 = 4,568.68 : x
  2. Step 2: Convert to fraction form
    12,357.64/18,532.86 = 4,568.68/x
  3. Step 3: Cross multiply
    12,357.64x = 18,532.86 × 4,568.68
  4. Step 4: Simplify right side
    12,357.64x = 84,670,706.82
  5. Step 5: Solve for x
    x = 84,670,706.82/12,357.64
  6. Step 6: Final answer
    x = 6,851.69

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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.