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Finding the Fourth Proportional to 27,887.76, 38,485.24 and 15,312.50

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Solution

The fourth proportional to 27,887.76, 38,485.24 and 15,312.50 is: 21,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.76 : 38,485.24 = 15,312.50 : x
  2. Step 2: Convert to fraction form
    27,887.76/38,485.24 = 15,312.50/x
  3. Step 3: Cross multiply
    27,887.76x = 38,485.24 × 15,312.50
  4. Step 4: Simplify right side
    27,887.76x = 589,305,237.50
  5. Step 5: Solve for x
    x = 589,305,237.50/27,887.76
  6. Step 6: Final answer
    x = 21,131.32

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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.