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Finding the Fourth Proportional to 27,528.38, 38,000.80 and 18,588

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Solution

The fourth proportional to 27,528.38, 38,000.80 and 18,588 is: 25,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,528.38 : 38,000.80 = 18,588 : x
  2. Step 2: Convert to fraction form
    27,528.38/38,000.80 = 18,588/x
  3. Step 3: Cross multiply
    27,528.38x = 38,000.80 × 18,588
  4. Step 4: Simplify right side
    27,528.38x = 706,358,870.40
  5. Step 5: Solve for x
    x = 706,358,870.40/27,528.38
  6. Step 6: Final answer
    x = 25,659.30

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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.