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Finding the Fourth Proportional to 21,037.85, 31,548.57 and 7,883.04

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Solution

The fourth proportional to 21,037.85, 31,548.57 and 7,883.04 is: 11,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,037.85 : 31,548.57 = 7,883.04 : x
  2. Step 2: Convert to fraction form
    21,037.85/31,548.57 = 7,883.04/x
  3. Step 3: Cross multiply
    21,037.85x = 31,548.57 × 7,883.04
  4. Step 4: Simplify right side
    21,037.85x = 248,698,639.25
  5. Step 5: Solve for x
    x = 248,698,639.25/21,037.85
  6. Step 6: Final answer
    x = 11,821.49

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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.