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Finding the Fourth Proportional to 14,103.70, 21,154.95 and 5,780.98

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Solution

The fourth proportional to 14,103.70, 21,154.95 and 5,780.98 is: 8,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.70 : 21,154.95 = 5,780.98 : x
  2. Step 2: Convert to fraction form
    14,103.70/21,154.95 = 5,780.98/x
  3. Step 3: Cross multiply
    14,103.70x = 21,154.95 × 5,780.98
  4. Step 4: Simplify right side
    14,103.70x = 122,296,342.85
  5. Step 5: Solve for x
    x = 122,296,342.85/14,103.70
  6. Step 6: Final answer
    x = 8,671.22

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