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Finding the Fourth Proportional to 27,546.51, 38,014.06 and 15,612.13

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Solution

The fourth proportional to 27,546.51, 38,014.06 and 15,612.13 is: 21,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546.51 : 38,014.06 = 15,612.13 : x
  2. Step 2: Convert to fraction form
    27,546.51/38,014.06 = 15,612.13/x
  3. Step 3: Cross multiply
    27,546.51x = 38,014.06 × 15,612.13
  4. Step 4: Simplify right side
    27,546.51x = 593,480,446.55
  5. Step 5: Solve for x
    x = 593,480,446.55/27,546.51
  6. Step 6: Final answer
    x = 21,544.67

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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.