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Finding the Fourth Proportional to 16,571.84, 22,871.97 and 10,603.22

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Solution

The fourth proportional to 16,571.84, 22,871.97 and 10,603.22 is: 14,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571.84 : 22,871.97 = 10,603.22 : x
  2. Step 2: Convert to fraction form
    16,571.84/22,871.97 = 10,603.22/x
  3. Step 3: Cross multiply
    16,571.84x = 22,871.97 × 10,603.22
  4. Step 4: Simplify right side
    16,571.84x = 242,516,415.38
  5. Step 5: Solve for x
    x = 242,516,415.38/16,571.84
  6. Step 6: Final answer
    x = 14,634.25

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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.