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Finding the Fourth Proportional to 19,562, 26,995.60 and 11,178.48

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Solution

The fourth proportional to 19,562, 26,995.60 and 11,178.48 is: 15,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,562 : 26,995.60 = 11,178.48 : x
  2. Step 2: Convert to fraction form
    19,562/26,995.60 = 11,178.48/x
  3. Step 3: Cross multiply
    19,562x = 26,995.60 × 11,178.48
  4. Step 4: Simplify right side
    19,562x = 301,769,774.69
  5. Step 5: Solve for x
    x = 301,769,774.69/19,562
  6. Step 6: Final answer
    x = 15,426.33

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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.