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Finding the Fourth Proportional to 12,502, 18,752.37 and 4,182.88

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Solution

The fourth proportional to 12,502, 18,752.37 and 4,182.88 is: 6,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502 : 18,752.37 = 4,182.88 : x
  2. Step 2: Convert to fraction form
    12,502/18,752.37 = 4,182.88/x
  3. Step 3: Cross multiply
    12,502x = 18,752.37 × 4,182.88
  4. Step 4: Simplify right side
    12,502x = 78,438,913.43
  5. Step 5: Solve for x
    x = 78,438,913.43/12,502
  6. Step 6: Final answer
    x = 6,274.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.