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Finding the Fourth Proportional to 16,102.50, 22,222.02 and 9,387.06

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Solution

The fourth proportional to 16,102.50, 22,222.02 and 9,387.06 is: 12,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.50 : 22,222.02 = 9,387.06 : x
  2. Step 2: Convert to fraction form
    16,102.50/22,222.02 = 9,387.06/x
  3. Step 3: Cross multiply
    16,102.50x = 22,222.02 × 9,387.06
  4. Step 4: Simplify right side
    16,102.50x = 208,599,435.06
  5. Step 5: Solve for x
    x = 208,599,435.06/16,102.50
  6. Step 6: Final answer
    x = 12,954.48

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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.