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Finding the Fourth Proportional to 27,124.68, 37,430.25 and 15,186

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Solution

The fourth proportional to 27,124.68, 37,430.25 and 15,186 is: 20,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,124.68 : 37,430.25 = 15,186 : x
  2. Step 2: Convert to fraction form
    27,124.68/37,430.25 = 15,186/x
  3. Step 3: Cross multiply
    27,124.68x = 37,430.25 × 15,186
  4. Step 4: Simplify right side
    27,124.68x = 568,415,776.50
  5. Step 5: Solve for x
    x = 568,415,776.50/27,124.68
  6. Step 6: Final answer
    x = 20,955.67

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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.