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Finding the Fourth Proportional to 13,981.60, 19,293.54 and 7,694.38

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Solution

The fourth proportional to 13,981.60, 19,293.54 and 7,694.38 is: 10,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.60 : 19,293.54 = 7,694.38 : x
  2. Step 2: Convert to fraction form
    13,981.60/19,293.54 = 7,694.38/x
  3. Step 3: Cross multiply
    13,981.60x = 19,293.54 × 7,694.38
  4. Step 4: Simplify right side
    13,981.60x = 148,451,828.31
  5. Step 5: Solve for x
    x = 148,451,828.31/13,981.60
  6. Step 6: Final answer
    x = 10,617.66

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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.