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Finding the Fourth Proportional to 14,553.84, 21,834.40 and 4,692.90

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Solution

The fourth proportional to 14,553.84, 21,834.40 and 4,692.90 is: 7,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.84 : 21,834.40 = 4,692.90 : x
  2. Step 2: Convert to fraction form
    14,553.84/21,834.40 = 4,692.90/x
  3. Step 3: Cross multiply
    14,553.84x = 21,834.40 × 4,692.90
  4. Step 4: Simplify right side
    14,553.84x = 102,466,655.76
  5. Step 5: Solve for x
    x = 102,466,655.76/14,553.84
  6. Step 6: Final answer
    x = 7,040.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.