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Finding the Fourth Proportional to 27,528.10, 38,004.54 and 18,124

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Solution

The fourth proportional to 27,528.10, 38,004.54 and 18,124 is: 25,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,528.10 : 38,004.54 = 18,124 : x
  2. Step 2: Convert to fraction form
    27,528.10/38,004.54 = 18,124/x
  3. Step 3: Cross multiply
    27,528.10x = 38,004.54 × 18,124
  4. Step 4: Simplify right side
    27,528.10x = 688,794,282.96
  5. Step 5: Solve for x
    x = 688,794,282.96/27,528.10
  6. Step 6: Final answer
    x = 25,021.50

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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.