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Finding the Fourth Proportional to 17,878.82, 26,827.95 and 7,497.86

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Solution

The fourth proportional to 17,878.82, 26,827.95 and 7,497.86 is: 11,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.82 : 26,827.95 = 7,497.86 : x
  2. Step 2: Convert to fraction form
    17,878.82/26,827.95 = 7,497.86/x
  3. Step 3: Cross multiply
    17,878.82x = 26,827.95 × 7,497.86
  4. Step 4: Simplify right side
    17,878.82x = 201,152,213.19
  5. Step 5: Solve for x
    x = 201,152,213.19/17,878.82
  6. Step 6: Final answer
    x = 11,250.87

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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.