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Finding the Fourth Proportional to 16,220.51, 22,385.06 and 9,146.78

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Solution

The fourth proportional to 16,220.51, 22,385.06 and 9,146.78 is: 12,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.51 : 22,385.06 = 9,146.78 : x
  2. Step 2: Convert to fraction form
    16,220.51/22,385.06 = 9,146.78/x
  3. Step 3: Cross multiply
    16,220.51x = 22,385.06 × 9,146.78
  4. Step 4: Simplify right side
    16,220.51x = 204,751,061.45
  5. Step 5: Solve for x
    x = 204,751,061.45/16,220.51
  6. Step 6: Final answer
    x = 12,622.98

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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.