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Finding the Fourth Proportional to 13,846, 19,107.66 and 7,558.54

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Solution

The fourth proportional to 13,846, 19,107.66 and 7,558.54 is: 10,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846 : 19,107.66 = 7,558.54 : x
  2. Step 2: Convert to fraction form
    13,846/19,107.66 = 7,558.54/x
  3. Step 3: Cross multiply
    13,846x = 19,107.66 × 7,558.54
  4. Step 4: Simplify right side
    13,846x = 144,426,012.42
  5. Step 5: Solve for x
    x = 144,426,012.42/13,846
  6. Step 6: Final answer
    x = 10,430.88

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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.