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Finding the Fourth Proportional to 26,538.27, 39,810 and 9,894.42

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Solution

The fourth proportional to 26,538.27, 39,810 and 9,894.42 is: 14,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538.27 : 39,810 = 9,894.42 : x
  2. Step 2: Convert to fraction form
    26,538.27/39,810 = 9,894.42/x
  3. Step 3: Cross multiply
    26,538.27x = 39,810 × 9,894.42
  4. Step 4: Simplify right side
    26,538.27x = 393,896,860.20
  5. Step 5: Solve for x
    x = 393,896,860.20/26,538.27
  6. Step 6: Final answer
    x = 14,842.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.