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Finding the Fourth Proportional to 14,492.47, 21,736.26 and 6,592.54

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Solution

The fourth proportional to 14,492.47, 21,736.26 and 6,592.54 is: 9,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.47 : 21,736.26 = 6,592.54 : x
  2. Step 2: Convert to fraction form
    14,492.47/21,736.26 = 6,592.54/x
  3. Step 3: Cross multiply
    14,492.47x = 21,736.26 × 6,592.54
  4. Step 4: Simplify right side
    14,492.47x = 143,297,163.50
  5. Step 5: Solve for x
    x = 143,297,163.50/14,492.47
  6. Step 6: Final answer
    x = 9,887.70

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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.