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Finding the Fourth Proportional to 16,026.66, 24,030.27 and 7,249.50

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Solution

The fourth proportional to 16,026.66, 24,030.27 and 7,249.50 is: 10,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.66 : 24,030.27 = 7,249.50 : x
  2. Step 2: Convert to fraction form
    16,026.66/24,030.27 = 7,249.50/x
  3. Step 3: Cross multiply
    16,026.66x = 24,030.27 × 7,249.50
  4. Step 4: Simplify right side
    16,026.66x = 174,207,442.37
  5. Step 5: Solve for x
    x = 174,207,442.37/16,026.66
  6. Step 6: Final answer
    x = 10,869.85

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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.