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Finding the Fourth Proportional to 13,914.72, 19,203.54 and 7,948.32

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Solution

The fourth proportional to 13,914.72, 19,203.54 and 7,948.32 is: 10,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.72 : 19,203.54 = 7,948.32 : x
  2. Step 2: Convert to fraction form
    13,914.72/19,203.54 = 7,948.32/x
  3. Step 3: Cross multiply
    13,914.72x = 19,203.54 × 7,948.32
  4. Step 4: Simplify right side
    13,914.72x = 152,635,881.05
  5. Step 5: Solve for x
    x = 152,635,881.05/13,914.72
  6. Step 6: Final answer
    x = 10,969.38

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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.