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Finding the Fourth Proportional to 19,875.34, 29,821.16 and 10,512.85

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Solution

The fourth proportional to 19,875.34, 29,821.16 and 10,512.85 is: 15,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.34 : 29,821.16 = 10,512.85 : x
  2. Step 2: Convert to fraction form
    19,875.34/29,821.16 = 10,512.85/x
  3. Step 3: Cross multiply
    19,875.34x = 29,821.16 × 10,512.85
  4. Step 4: Simplify right side
    19,875.34x = 313,505,381.91
  5. Step 5: Solve for x
    x = 313,505,381.91/19,875.34
  6. Step 6: Final answer
    x = 15,773.59

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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.