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Finding the Fourth Proportional to 16,675.84, 22,994.24 and 11,360

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Solution

The fourth proportional to 16,675.84, 22,994.24 and 11,360 is: 15,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675.84 : 22,994.24 = 11,360 : x
  2. Step 2: Convert to fraction form
    16,675.84/22,994.24 = 11,360/x
  3. Step 3: Cross multiply
    16,675.84x = 22,994.24 × 11,360
  4. Step 4: Simplify right side
    16,675.84x = 261,214,566.40
  5. Step 5: Solve for x
    x = 261,214,566.40/16,675.84
  6. Step 6: Final answer
    x = 15,664.25

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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.