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Finding the Fourth Proportional to 28,001, 42,008.04 and 9,533

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Solution

The fourth proportional to 28,001, 42,008.04 and 9,533 is: 14,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,001 : 42,008.04 = 9,533 : x
  2. Step 2: Convert to fraction form
    28,001/42,008.04 = 9,533/x
  3. Step 3: Cross multiply
    28,001x = 42,008.04 × 9,533
  4. Step 4: Simplify right side
    28,001x = 400,462,645.32
  5. Step 5: Solve for x
    x = 400,462,645.32/28,001
  6. Step 6: Final answer
    x = 14,301.73

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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.