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Finding the Fourth Proportional to 21,075, 29,083.50 and 12,693.12

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Solution

The fourth proportional to 21,075, 29,083.50 and 12,693.12 is: 17,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075 : 29,083.50 = 12,693.12 : x
  2. Step 2: Convert to fraction form
    21,075/29,083.50 = 12,693.12/x
  3. Step 3: Cross multiply
    21,075x = 29,083.50 × 12,693.12
  4. Step 4: Simplify right side
    21,075x = 369,160,355.52
  5. Step 5: Solve for x
    x = 369,160,355.52/21,075
  6. Step 6: Final answer
    x = 17,516.51

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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.