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Finding the Fourth Proportional to 17,603.38, 24,285.90 and 11,228.86

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Solution

The fourth proportional to 17,603.38, 24,285.90 and 11,228.86 is: 15,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,603.38 : 24,285.90 = 11,228.86 : x
  2. Step 2: Convert to fraction form
    17,603.38/24,285.90 = 11,228.86/x
  3. Step 3: Cross multiply
    17,603.38x = 24,285.90 × 11,228.86
  4. Step 4: Simplify right side
    17,603.38x = 272,702,971.07
  5. Step 5: Solve for x
    x = 272,702,971.07/17,603.38
  6. Step 6: Final answer
    x = 15,491.51

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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.