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Finding the Fourth Proportional to 24,897.92, 37,352.68 and 11,048

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Solution

The fourth proportional to 24,897.92, 37,352.68 and 11,048 is: 16,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.92 : 37,352.68 = 11,048 : x
  2. Step 2: Convert to fraction form
    24,897.92/37,352.68 = 11,048/x
  3. Step 3: Cross multiply
    24,897.92x = 37,352.68 × 11,048
  4. Step 4: Simplify right side
    24,897.92x = 412,672,408.64
  5. Step 5: Solve for x
    x = 412,672,408.64/24,897.92
  6. Step 6: Final answer
    x = 16,574.57

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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.