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Finding the Fourth Proportional to 16,677.83, 23,015.59 and 9,124

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Solution

The fourth proportional to 16,677.83, 23,015.59 and 9,124 is: 12,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,677.83 : 23,015.59 = 9,124 : x
  2. Step 2: Convert to fraction form
    16,677.83/23,015.59 = 9,124/x
  3. Step 3: Cross multiply
    16,677.83x = 23,015.59 × 9,124
  4. Step 4: Simplify right side
    16,677.83x = 209,994,243.16
  5. Step 5: Solve for x
    x = 209,994,243.16/16,677.83
  6. Step 6: Final answer
    x = 12,591.22

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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.