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Finding the Fourth Proportional to 14,394, 19,865.48 and 8,107.48

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Solution

The fourth proportional to 14,394, 19,865.48 and 8,107.48 is: 11,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394 : 19,865.48 = 8,107.48 : x
  2. Step 2: Convert to fraction form
    14,394/19,865.48 = 8,107.48/x
  3. Step 3: Cross multiply
    14,394x = 19,865.48 × 8,107.48
  4. Step 4: Simplify right side
    14,394x = 161,058,981.79
  5. Step 5: Solve for x
    x = 161,058,981.79/14,394
  6. Step 6: Final answer
    x = 11,189.31

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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.