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Finding the Fourth Proportional to 21,645.50, 32,465.00 and 6,852.50

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Solution

The fourth proportional to 21,645.50, 32,465.00 and 6,852.50 is: 10,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645.50 : 32,465.00 = 6,852.50 : x
  2. Step 2: Convert to fraction form
    21,645.50/32,465.00 = 6,852.50/x
  3. Step 3: Cross multiply
    21,645.50x = 32,465.00 × 6,852.50
  4. Step 4: Simplify right side
    21,645.50x = 222,466,215.91
  5. Step 5: Solve for x
    x = 222,466,215.91/21,645.50
  6. Step 6: Final answer
    x = 10,277.71

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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.