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Finding the Fourth Proportional to 19,076.50, 26,325.57 and 11,624.50

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Solution

The fourth proportional to 19,076.50, 26,325.57 and 11,624.50 is: 16,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,076.50 : 26,325.57 = 11,624.50 : x
  2. Step 2: Convert to fraction form
    19,076.50/26,325.57 = 11,624.50/x
  3. Step 3: Cross multiply
    19,076.50x = 26,325.57 × 11,624.50
  4. Step 4: Simplify right side
    19,076.50x = 306,021,588.47
  5. Step 5: Solve for x
    x = 306,021,588.47/19,076.50
  6. Step 6: Final answer
    x = 16,041.81

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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.