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Finding the Fourth Proportional to 21,235.68, 31,842.60 and 9,538.86

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Solution

The fourth proportional to 21,235.68, 31,842.60 and 9,538.86 is: 14,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235.68 : 31,842.60 = 9,538.86 : x
  2. Step 2: Convert to fraction form
    21,235.68/31,842.60 = 9,538.86/x
  3. Step 3: Cross multiply
    21,235.68x = 31,842.60 × 9,538.86
  4. Step 4: Simplify right side
    21,235.68x = 303,742,103.44
  5. Step 5: Solve for x
    x = 303,742,103.44/21,235.68
  6. Step 6: Final answer
    x = 14,303.38

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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.