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Finding the Fourth Proportional to 14,892.50, 22,332.19 and 6,997.26

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Solution

The fourth proportional to 14,892.50, 22,332.19 and 6,997.26 is: 10,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,892.50 : 22,332.19 = 6,997.26 : x
  2. Step 2: Convert to fraction form
    14,892.50/22,332.19 = 6,997.26/x
  3. Step 3: Cross multiply
    14,892.50x = 22,332.19 × 6,997.26
  4. Step 4: Simplify right side
    14,892.50x = 156,264,122.31
  5. Step 5: Solve for x
    x = 156,264,122.31/14,892.50
  6. Step 6: Final answer
    x = 10,492.81

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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.