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Finding the Fourth Proportional to 13,844.98, 19,106.40 and 7,557.40

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Solution

The fourth proportional to 13,844.98, 19,106.40 and 7,557.40 is: 10,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844.98 : 19,106.40 = 7,557.40 : x
  2. Step 2: Convert to fraction form
    13,844.98/19,106.40 = 7,557.40/x
  3. Step 3: Cross multiply
    13,844.98x = 19,106.40 × 7,557.40
  4. Step 4: Simplify right side
    13,844.98x = 144,394,707.36
  5. Step 5: Solve for x
    x = 144,394,707.36/13,844.98
  6. Step 6: Final answer
    x = 10,429.39

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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.