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Finding the Fourth Proportional to 28,036, 38,690.24 and 18,117.28

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Solution

The fourth proportional to 28,036, 38,690.24 and 18,117.28 is: 25,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,036 : 38,690.24 = 18,117.28 : x
  2. Step 2: Convert to fraction form
    28,036/38,690.24 = 18,117.28/x
  3. Step 3: Cross multiply
    28,036x = 38,690.24 × 18,117.28
  4. Step 4: Simplify right side
    28,036x = 700,961,911.35
  5. Step 5: Solve for x
    x = 700,961,911.35/28,036
  6. Step 6: Final answer
    x = 25,002.21

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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.