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Finding the Fourth Proportional to 12,550, 18,833.64 and 4,342

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Solution

The fourth proportional to 12,550, 18,833.64 and 4,342 is: 6,515.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,550 : 18,833.64 = 4,342 : x
  2. Step 2: Convert to fraction form
    12,550/18,833.64 = 4,342/x
  3. Step 3: Cross multiply
    12,550x = 18,833.64 × 4,342
  4. Step 4: Simplify right side
    12,550x = 81,775,664.88
  5. Step 5: Solve for x
    x = 81,775,664.88/12,550
  6. Step 6: Final answer
    x = 6,515.99

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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.