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Finding the Fourth Proportional to 21,461.22, 32,172.75 and 8,124.93

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Solution

The fourth proportional to 21,461.22, 32,172.75 and 8,124.93 is: 12,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.22 : 32,172.75 = 8,124.93 : x
  2. Step 2: Convert to fraction form
    21,461.22/32,172.75 = 8,124.93/x
  3. Step 3: Cross multiply
    21,461.22x = 32,172.75 × 8,124.93
  4. Step 4: Simplify right side
    21,461.22x = 261,401,341.66
  5. Step 5: Solve for x
    x = 261,401,341.66/21,461.22
  6. Step 6: Final answer
    x = 12,180.17

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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.