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Finding the Fourth Proportional to 19,603, 29,404.50 and 5,752

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Solution

The fourth proportional to 19,603, 29,404.50 and 5,752 is: 8,628

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,603 : 29,404.50 = 5,752 : x
  2. Step 2: Convert to fraction form
    19,603/29,404.50 = 5,752/x
  3. Step 3: Cross multiply
    19,603x = 29,404.50 × 5,752
  4. Step 4: Simplify right side
    19,603x = 169,134,684
  5. Step 5: Solve for x
    x = 169,134,684/19,603
  6. Step 6: Final answer
    x = 8,628

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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.