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Finding the Fourth Proportional to 27,887.38, 38,485 and 15,312.12

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Solution

The fourth proportional to 27,887.38, 38,485 and 15,312.12 is: 21,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.38 : 38,485 = 15,312.12 : x
  2. Step 2: Convert to fraction form
    27,887.38/38,485 = 15,312.12/x
  3. Step 3: Cross multiply
    27,887.38x = 38,485 × 15,312.12
  4. Step 4: Simplify right side
    27,887.38x = 589,286,938.20
  5. Step 5: Solve for x
    x = 589,286,938.20/27,887.38
  6. Step 6: Final answer
    x = 21,130.95

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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.