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Finding the Fourth Proportional to 17,378.78, 26,047.22 and 8,005.98

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Solution

The fourth proportional to 17,378.78, 26,047.22 and 8,005.98 is: 11,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.78 : 26,047.22 = 8,005.98 : x
  2. Step 2: Convert to fraction form
    17,378.78/26,047.22 = 8,005.98/x
  3. Step 3: Cross multiply
    17,378.78x = 26,047.22 × 8,005.98
  4. Step 4: Simplify right side
    17,378.78x = 208,533,522.38
  5. Step 5: Solve for x
    x = 208,533,522.38/17,378.78
  6. Step 6: Final answer
    x = 11,999.32

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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.