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Finding the Fourth Proportional to 28,029.74, 38,678.73 and 17,417.30

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Solution

The fourth proportional to 28,029.74, 38,678.73 and 17,417.30 is: 24,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,029.74 : 38,678.73 = 17,417.30 : x
  2. Step 2: Convert to fraction form
    28,029.74/38,678.73 = 17,417.30/x
  3. Step 3: Cross multiply
    28,029.74x = 38,678.73 × 17,417.30
  4. Step 4: Simplify right side
    28,029.74x = 673,679,044.03
  5. Step 5: Solve for x
    x = 673,679,044.03/28,029.74
  6. Step 6: Final answer
    x = 24,034.44

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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.