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Finding the Fourth Proportional to 21,174.50, 31,761.75 and 11,283.80

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Solution

The fourth proportional to 21,174.50, 31,761.75 and 11,283.80 is: 16,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.50 : 31,761.75 = 11,283.80 : x
  2. Step 2: Convert to fraction form
    21,174.50/31,761.75 = 11,283.80/x
  3. Step 3: Cross multiply
    21,174.50x = 31,761.75 × 11,283.80
  4. Step 4: Simplify right side
    21,174.50x = 358,393,075.84
  5. Step 5: Solve for x
    x = 358,393,075.84/21,174.50
  6. Step 6: Final answer
    x = 16,925.70

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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.