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Finding the Fourth Proportional to 21,683.31, 32,525.91 and 7,461.58

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Solution

The fourth proportional to 21,683.31, 32,525.91 and 7,461.58 is: 11,192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.31 : 32,525.91 = 7,461.58 : x
  2. Step 2: Convert to fraction form
    21,683.31/32,525.91 = 7,461.58/x
  3. Step 3: Cross multiply
    21,683.31x = 32,525.91 × 7,461.58
  4. Step 4: Simplify right side
    21,683.31x = 242,694,679.54
  5. Step 5: Solve for x
    x = 242,694,679.54/21,683.31
  6. Step 6: Final answer
    x = 11,192.70

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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.