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Finding the Fourth Proportional to 14,267.34, 19,687.41 and 7,892.91

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Solution

The fourth proportional to 14,267.34, 19,687.41 and 7,892.91 is: 10,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267.34 : 19,687.41 = 7,892.91 : x
  2. Step 2: Convert to fraction form
    14,267.34/19,687.41 = 7,892.91/x
  3. Step 3: Cross multiply
    14,267.34x = 19,687.41 × 7,892.91
  4. Step 4: Simplify right side
    14,267.34x = 155,390,955.26
  5. Step 5: Solve for x
    x = 155,390,955.26/14,267.34
  6. Step 6: Final answer
    x = 10,891.38

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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.