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Finding the Fourth Proportional to 22,108.50, 30,509.76 and 12,172.50

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Solution

The fourth proportional to 22,108.50, 30,509.76 and 12,172.50 is: 16,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,108.50 : 30,509.76 = 12,172.50 : x
  2. Step 2: Convert to fraction form
    22,108.50/30,509.76 = 12,172.50/x
  3. Step 3: Cross multiply
    22,108.50x = 30,509.76 × 12,172.50
  4. Step 4: Simplify right side
    22,108.50x = 371,380,053.60
  5. Step 5: Solve for x
    x = 371,380,053.60/22,108.50
  6. Step 6: Final answer
    x = 16,798.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.