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Finding the Fourth Proportional to 21,075.44, 29,083.90 and 11,644

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Solution

The fourth proportional to 21,075.44, 29,083.90 and 11,644 is: 16,068.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.44 : 29,083.90 = 11,644 : x
  2. Step 2: Convert to fraction form
    21,075.44/29,083.90 = 11,644/x
  3. Step 3: Cross multiply
    21,075.44x = 29,083.90 × 11,644
  4. Step 4: Simplify right side
    21,075.44x = 338,652,931.60
  5. Step 5: Solve for x
    x = 338,652,931.60/21,075.44
  6. Step 6: Final answer
    x = 16,068.61

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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.