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Finding the Fourth Proportional to 21,200.50, 29,256.70 and 12,817

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Solution

The fourth proportional to 21,200.50, 29,256.70 and 12,817 is: 17,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.50 : 29,256.70 = 12,817 : x
  2. Step 2: Convert to fraction form
    21,200.50/29,256.70 = 12,817/x
  3. Step 3: Cross multiply
    21,200.50x = 29,256.70 × 12,817
  4. Step 4: Simplify right side
    21,200.50x = 374,983,123.90
  5. Step 5: Solve for x
    x = 374,983,123.90/21,200.50
  6. Step 6: Final answer
    x = 17,687.47

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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.