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Finding the Fourth Proportional to 14,123.34, 19,491.75 and 8,156.88

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Solution

The fourth proportional to 14,123.34, 19,491.75 and 8,156.88 is: 11,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.34 : 19,491.75 = 8,156.88 : x
  2. Step 2: Convert to fraction form
    14,123.34/19,491.75 = 8,156.88/x
  3. Step 3: Cross multiply
    14,123.34x = 19,491.75 × 8,156.88
  4. Step 4: Simplify right side
    14,123.34x = 158,991,865.74
  5. Step 5: Solve for x
    x = 158,991,865.74/14,123.34
  6. Step 6: Final answer
    x = 11,257.38

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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.