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Finding the Fourth Proportional to 11,878.38, 17,725.30 and 10,303.74

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Solution

The fourth proportional to 11,878.38, 17,725.30 and 10,303.74 is: 15,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.38 : 17,725.30 = 10,303.74 : x
  2. Step 2: Convert to fraction form
    11,878.38/17,725.30 = 10,303.74/x
  3. Step 3: Cross multiply
    11,878.38x = 17,725.30 × 10,303.74
  4. Step 4: Simplify right side
    11,878.38x = 182,636,856.86
  5. Step 5: Solve for x
    x = 182,636,856.86/11,878.38
  6. Step 6: Final answer
    x = 15,375.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.