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Finding the Fourth Proportional to 21,083.80, 31,615.02 and 7,038.82

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Solution

The fourth proportional to 21,083.80, 31,615.02 and 7,038.82 is: 10,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.80 : 31,615.02 = 7,038.82 : x
  2. Step 2: Convert to fraction form
    21,083.80/31,615.02 = 7,038.82/x
  3. Step 3: Cross multiply
    21,083.80x = 31,615.02 × 7,038.82
  4. Step 4: Simplify right side
    21,083.80x = 222,532,435.08
  5. Step 5: Solve for x
    x = 222,532,435.08/21,083.80
  6. Step 6: Final answer
    x = 10,554.66

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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.