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Finding the Fourth Proportional to 14,101.39, 19,460.55 and 7,813.36

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Solution

The fourth proportional to 14,101.39, 19,460.55 and 7,813.36 is: 10,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.39 : 19,460.55 = 7,813.36 : x
  2. Step 2: Convert to fraction form
    14,101.39/19,460.55 = 7,813.36/x
  3. Step 3: Cross multiply
    14,101.39x = 19,460.55 × 7,813.36
  4. Step 4: Simplify right side
    14,101.39x = 152,052,282.95
  5. Step 5: Solve for x
    x = 152,052,282.95/14,101.39
  6. Step 6: Final answer
    x = 10,782.79

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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.