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Finding the Fourth Proportional to 14,347.76, 19,800.42 and 8,060

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Solution

The fourth proportional to 14,347.76, 19,800.42 and 8,060 is: 11,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347.76 : 19,800.42 = 8,060 : x
  2. Step 2: Convert to fraction form
    14,347.76/19,800.42 = 8,060/x
  3. Step 3: Cross multiply
    14,347.76x = 19,800.42 × 8,060
  4. Step 4: Simplify right side
    14,347.76x = 159,591,385.20
  5. Step 5: Solve for x
    x = 159,591,385.20/14,347.76
  6. Step 6: Final answer
    x = 11,123.09

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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.