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Finding the Fourth Proportional to 19,517.31, 29,281.25 and 7,038.72

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Solution

The fourth proportional to 19,517.31, 29,281.25 and 7,038.72 is: 10,559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517.31 : 29,281.25 = 7,038.72 : x
  2. Step 2: Convert to fraction form
    19,517.31/29,281.25 = 7,038.72/x
  3. Step 3: Cross multiply
    19,517.31x = 29,281.25 × 7,038.72
  4. Step 4: Simplify right side
    19,517.31x = 206,102,520
  5. Step 5: Solve for x
    x = 206,102,520/19,517.31
  6. Step 6: Final answer
    x = 10,559.99

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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.