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Finding the Fourth Proportional to 12,583.88, 18,875.80 and 3,349.88

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Solution

The fourth proportional to 12,583.88, 18,875.80 and 3,349.88 is: 5,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.88 : 18,875.80 = 3,349.88 : x
  2. Step 2: Convert to fraction form
    12,583.88/18,875.80 = 3,349.88/x
  3. Step 3: Cross multiply
    12,583.88x = 18,875.80 × 3,349.88
  4. Step 4: Simplify right side
    12,583.88x = 63,231,664.90
  5. Step 5: Solve for x
    x = 63,231,664.90/12,583.88
  6. Step 6: Final answer
    x = 5,024.81

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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.