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Finding the Fourth Proportional to 19,337, 29,005.52 and 5,297.14

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Solution

The fourth proportional to 19,337, 29,005.52 and 5,297.14 is: 7,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,337 : 29,005.52 = 5,297.14 : x
  2. Step 2: Convert to fraction form
    19,337/29,005.52 = 5,297.14/x
  3. Step 3: Cross multiply
    19,337x = 29,005.52 × 5,297.14
  4. Step 4: Simplify right side
    19,337x = 153,646,300.21
  5. Step 5: Solve for x
    x = 153,646,300.21/19,337
  6. Step 6: Final answer
    x = 7,945.72

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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.