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Finding the Fourth Proportional to 14,491.82, 21,735.16 and 6,592.50

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Solution

The fourth proportional to 14,491.82, 21,735.16 and 6,592.50 is: 9,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.82 : 21,735.16 = 6,592.50 : x
  2. Step 2: Convert to fraction form
    14,491.82/21,735.16 = 6,592.50/x
  3. Step 3: Cross multiply
    14,491.82x = 21,735.16 × 6,592.50
  4. Step 4: Simplify right side
    14,491.82x = 143,289,042.30
  5. Step 5: Solve for x
    x = 143,289,042.30/14,491.82
  6. Step 6: Final answer
    x = 9,887.58

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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.