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Finding the Fourth Proportional to 16,220.60, 22,386.42 and 9,146.88

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Solution

The fourth proportional to 16,220.60, 22,386.42 and 9,146.88 is: 12,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.60 : 22,386.42 = 9,146.88 : x
  2. Step 2: Convert to fraction form
    16,220.60/22,386.42 = 9,146.88/x
  3. Step 3: Cross multiply
    16,220.60x = 22,386.42 × 9,146.88
  4. Step 4: Simplify right side
    16,220.60x = 204,765,897.37
  5. Step 5: Solve for x
    x = 204,765,897.37/16,220.60
  6. Step 6: Final answer
    x = 12,623.82

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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.