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Finding the Fourth Proportional to 16,603.72, 24,911.50 and 8,283

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Solution

The fourth proportional to 16,603.72, 24,911.50 and 8,283 is: 12,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,603.72 : 24,911.50 = 8,283 : x
  2. Step 2: Convert to fraction form
    16,603.72/24,911.50 = 8,283/x
  3. Step 3: Cross multiply
    16,603.72x = 24,911.50 × 8,283
  4. Step 4: Simplify right side
    16,603.72x = 206,341,954.50
  5. Step 5: Solve for x
    x = 206,341,954.50/16,603.72
  6. Step 6: Final answer
    x = 12,427.45

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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.