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Finding the Fourth Proportional to 27,688.66, 38,205.24 and 15,751.30

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Solution

The fourth proportional to 27,688.66, 38,205.24 and 15,751.30 is: 21,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,688.66 : 38,205.24 = 15,751.30 : x
  2. Step 2: Convert to fraction form
    27,688.66/38,205.24 = 15,751.30/x
  3. Step 3: Cross multiply
    27,688.66x = 38,205.24 × 15,751.30
  4. Step 4: Simplify right side
    27,688.66x = 601,782,196.81
  5. Step 5: Solve for x
    x = 601,782,196.81/27,688.66
  6. Step 6: Final answer
    x = 21,733.89

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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.