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Finding the Fourth Proportional to 22,992.66, 34,492.32 and 8,200.26

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Solution

The fourth proportional to 22,992.66, 34,492.32 and 8,200.26 is: 12,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.66 : 34,492.32 = 8,200.26 : x
  2. Step 2: Convert to fraction form
    22,992.66/34,492.32 = 8,200.26/x
  3. Step 3: Cross multiply
    22,992.66x = 34,492.32 × 8,200.26
  4. Step 4: Simplify right side
    22,992.66x = 282,845,992.00
  5. Step 5: Solve for x
    x = 282,845,992.00/22,992.66
  6. Step 6: Final answer
    x = 12,301.58

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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.