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Finding the Fourth Proportional to 13,193.98, 19,752.66 and 9,240.34

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Solution

The fourth proportional to 13,193.98, 19,752.66 and 9,240.34 is: 13,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.98 : 19,752.66 = 9,240.34 : x
  2. Step 2: Convert to fraction form
    13,193.98/19,752.66 = 9,240.34/x
  3. Step 3: Cross multiply
    13,193.98x = 19,752.66 × 9,240.34
  4. Step 4: Simplify right side
    13,193.98x = 182,521,294.30
  5. Step 5: Solve for x
    x = 182,521,294.30/13,193.98
  6. Step 6: Final answer
    x = 13,833.68

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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.