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Finding the Fourth Proportional to 13,141.11, 19,699.95 and 4,819.19

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Solution

The fourth proportional to 13,141.11, 19,699.95 and 4,819.19 is: 7,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.11 : 19,699.95 = 4,819.19 : x
  2. Step 2: Convert to fraction form
    13,141.11/19,699.95 = 4,819.19/x
  3. Step 3: Cross multiply
    13,141.11x = 19,699.95 × 4,819.19
  4. Step 4: Simplify right side
    13,141.11x = 94,937,694.50
  5. Step 5: Solve for x
    x = 94,937,694.50/13,141.11
  6. Step 6: Final answer
    x = 7,224.48

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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.