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Finding the Fourth Proportional to 14,300.20, 19,733.94 and 8,012.44

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Solution

The fourth proportional to 14,300.20, 19,733.94 and 8,012.44 is: 11,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300.20 : 19,733.94 = 8,012.44 : x
  2. Step 2: Convert to fraction form
    14,300.20/19,733.94 = 8,012.44/x
  3. Step 3: Cross multiply
    14,300.20x = 19,733.94 × 8,012.44
  4. Step 4: Simplify right side
    14,300.20x = 158,117,010.21
  5. Step 5: Solve for x
    x = 158,117,010.21/14,300.20
  6. Step 6: Final answer
    x = 11,056.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.