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Finding the Fourth Proportional to 12,025.51, 16,599.76 and 9,049.97

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Solution

The fourth proportional to 12,025.51, 16,599.76 and 9,049.97 is: 12,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.51 : 16,599.76 = 9,049.97 : x
  2. Step 2: Convert to fraction form
    12,025.51/16,599.76 = 9,049.97/x
  3. Step 3: Cross multiply
    12,025.51x = 16,599.76 × 9,049.97
  4. Step 4: Simplify right side
    12,025.51x = 150,227,326.26
  5. Step 5: Solve for x
    x = 150,227,326.26/12,025.51
  6. Step 6: Final answer
    x = 12,492.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.