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Finding the Fourth Proportional to 18,135.74, 25,037.74 and 12,084.38

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Solution

The fourth proportional to 18,135.74, 25,037.74 and 12,084.38 is: 16,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,135.74 : 25,037.74 = 12,084.38 : x
  2. Step 2: Convert to fraction form
    18,135.74/25,037.74 = 12,084.38/x
  3. Step 3: Cross multiply
    18,135.74x = 25,037.74 × 12,084.38
  4. Step 4: Simplify right side
    18,135.74x = 302,565,566.67
  5. Step 5: Solve for x
    x = 302,565,566.67/18,135.74
  6. Step 6: Final answer
    x = 16,683.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.