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Finding the Fourth Proportional to 21,392.46, 32,091.57 and 7,538.22

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Solution

The fourth proportional to 21,392.46, 32,091.57 and 7,538.22 is: 11,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,392.46 : 32,091.57 = 7,538.22 : x
  2. Step 2: Convert to fraction form
    21,392.46/32,091.57 = 7,538.22/x
  3. Step 3: Cross multiply
    21,392.46x = 32,091.57 × 7,538.22
  4. Step 4: Simplify right side
    21,392.46x = 241,913,314.81
  5. Step 5: Solve for x
    x = 241,913,314.81/21,392.46
  6. Step 6: Final answer
    x = 11,308.34

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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.