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Finding the Fourth Proportional to 27,003, 37,264.14 and 15,825

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Solution

The fourth proportional to 27,003, 37,264.14 and 15,825 is: 21,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,003 : 37,264.14 = 15,825 : x
  2. Step 2: Convert to fraction form
    27,003/37,264.14 = 15,825/x
  3. Step 3: Cross multiply
    27,003x = 37,264.14 × 15,825
  4. Step 4: Simplify right side
    27,003x = 589,705,015.50
  5. Step 5: Solve for x
    x = 589,705,015.50/27,003
  6. Step 6: Final answer
    x = 21,838.50

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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.