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Finding the Fourth Proportional to 16,914.84, 23,342 and 9,361.50

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Solution

The fourth proportional to 16,914.84, 23,342 and 9,361.50 is: 12,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,914.84 : 23,342 = 9,361.50 : x
  2. Step 2: Convert to fraction form
    16,914.84/23,342 = 9,361.50/x
  3. Step 3: Cross multiply
    16,914.84x = 23,342 × 9,361.50
  4. Step 4: Simplify right side
    16,914.84x = 218,516,133
  5. Step 5: Solve for x
    x = 218,516,133/16,914.84
  6. Step 6: Final answer
    x = 12,918.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.