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Finding the Fourth Proportional to 19,575.41, 27,013.82 and 10,622.84

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Solution

The fourth proportional to 19,575.41, 27,013.82 and 10,622.84 is: 14,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575.41 : 27,013.82 = 10,622.84 : x
  2. Step 2: Convert to fraction form
    19,575.41/27,013.82 = 10,622.84/x
  3. Step 3: Cross multiply
    19,575.41x = 27,013.82 × 10,622.84
  4. Step 4: Simplify right side
    19,575.41x = 286,963,299.47
  5. Step 5: Solve for x
    x = 286,963,299.47/19,575.41
  6. Step 6: Final answer
    x = 14,659.38

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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.