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Finding the Fourth Proportional to 16,222.86, 22,387.70 and 9,512.46

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Solution

The fourth proportional to 16,222.86, 22,387.70 and 9,512.46 is: 13,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.86 : 22,387.70 = 9,512.46 : x
  2. Step 2: Convert to fraction form
    16,222.86/22,387.70 = 9,512.46/x
  3. Step 3: Cross multiply
    16,222.86x = 22,387.70 × 9,512.46
  4. Step 4: Simplify right side
    16,222.86x = 212,962,100.74
  5. Step 5: Solve for x
    x = 212,962,100.74/16,222.86
  6. Step 6: Final answer
    x = 13,127.28

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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.