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Finding the Fourth Proportional to 14,123.34, 21,167.88 and 7,876.70

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Solution

The fourth proportional to 14,123.34, 21,167.88 and 7,876.70 is: 11,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.34 : 21,167.88 = 7,876.70 : x
  2. Step 2: Convert to fraction form
    14,123.34/21,167.88 = 7,876.70/x
  3. Step 3: Cross multiply
    14,123.34x = 21,167.88 × 7,876.70
  4. Step 4: Simplify right side
    14,123.34x = 166,733,040.40
  5. Step 5: Solve for x
    x = 166,733,040.40/14,123.34
  6. Step 6: Final answer
    x = 11,805.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.