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Finding the Fourth Proportional to 21,391.14, 32,077.52 and 7,352.58

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Solution

The fourth proportional to 21,391.14, 32,077.52 and 7,352.58 is: 11,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,391.14 : 32,077.52 = 7,352.58 : x
  2. Step 2: Convert to fraction form
    21,391.14/32,077.52 = 7,352.58/x
  3. Step 3: Cross multiply
    21,391.14x = 32,077.52 × 7,352.58
  4. Step 4: Simplify right side
    21,391.14x = 235,852,532.00
  5. Step 5: Solve for x
    x = 235,852,532.00/21,391.14
  6. Step 6: Final answer
    x = 11,025.71

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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.