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Finding the Fourth Proportional to 25,494.41, 38,235.86 and 9,693.81

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Solution

The fourth proportional to 25,494.41, 38,235.86 and 9,693.81 is: 14,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.41 : 38,235.86 = 9,693.81 : x
  2. Step 2: Convert to fraction form
    25,494.41/38,235.86 = 9,693.81/x
  3. Step 3: Cross multiply
    25,494.41x = 38,235.86 × 9,693.81
  4. Step 4: Simplify right side
    25,494.41x = 370,651,162.03
  5. Step 5: Solve for x
    x = 370,651,162.03/25,494.41
  6. Step 6: Final answer
    x = 14,538.53

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