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Finding the Fourth Proportional to 21,657.48, 32,467.24 and 10,407.22

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Solution

The fourth proportional to 21,657.48, 32,467.24 and 10,407.22 is: 15,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.48 : 32,467.24 = 10,407.22 : x
  2. Step 2: Convert to fraction form
    21,657.48/32,467.24 = 10,407.22/x
  3. Step 3: Cross multiply
    21,657.48x = 32,467.24 × 10,407.22
  4. Step 4: Simplify right side
    21,657.48x = 337,893,554.53
  5. Step 5: Solve for x
    x = 337,893,554.53/21,657.48
  6. Step 6: Final answer
    x = 15,601.70

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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.