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Finding the Fourth Proportional to 13,313.34, 19,954.62 and 5,512.50

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Solution

The fourth proportional to 13,313.34, 19,954.62 and 5,512.50 is: 8,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313.34 : 19,954.62 = 5,512.50 : x
  2. Step 2: Convert to fraction form
    13,313.34/19,954.62 = 5,512.50/x
  3. Step 3: Cross multiply
    13,313.34x = 19,954.62 × 5,512.50
  4. Step 4: Simplify right side
    13,313.34x = 109,999,842.75
  5. Step 5: Solve for x
    x = 109,999,842.75/13,313.34
  6. Step 6: Final answer
    x = 8,262.38

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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.