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Finding the Fourth Proportional to 21,852.18, 32,780.16 and 9,372.78

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Solution

The fourth proportional to 21,852.18, 32,780.16 and 9,372.78 is: 14,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.18 : 32,780.16 = 9,372.78 : x
  2. Step 2: Convert to fraction form
    21,852.18/32,780.16 = 9,372.78/x
  3. Step 3: Cross multiply
    21,852.18x = 32,780.16 × 9,372.78
  4. Step 4: Simplify right side
    21,852.18x = 307,241,228.04
  5. Step 5: Solve for x
    x = 307,241,228.04/21,852.18
  6. Step 6: Final answer
    x = 14,059.98

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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.