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Finding the Fourth Proportional to 25,494.54, 38,236.04 and 9,693.93

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Solution

The fourth proportional to 25,494.54, 38,236.04 and 9,693.93 is: 14,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.54 : 38,236.04 = 9,693.93 : x
  2. Step 2: Convert to fraction form
    25,494.54/38,236.04 = 9,693.93/x
  3. Step 3: Cross multiply
    25,494.54x = 38,236.04 × 9,693.93
  4. Step 4: Simplify right side
    25,494.54x = 370,657,626.50
  5. Step 5: Solve for x
    x = 370,657,626.50/25,494.54
  6. Step 6: Final answer
    x = 14,538.71

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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.