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Finding the Fourth Proportional to 13,922.45, 19,212.76 and 7,548.91

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Solution

The fourth proportional to 13,922.45, 19,212.76 and 7,548.91 is: 10,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.45 : 19,212.76 = 7,548.91 : x
  2. Step 2: Convert to fraction form
    13,922.45/19,212.76 = 7,548.91/x
  3. Step 3: Cross multiply
    13,922.45x = 19,212.76 × 7,548.91
  4. Step 4: Simplify right side
    13,922.45x = 145,035,465.57
  5. Step 5: Solve for x
    x = 145,035,465.57/13,922.45
  6. Step 6: Final answer
    x = 10,417.38

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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.